10581619793472 has 336 divisors, whose sum is σ = 37345670718720. Its totient is φ = 2789555687424.

The previous prime is 10581619793471. The next prime is 10581619793489. The reversal of 10581619793472 is 27439791618501.

10581619793472 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 1 + 619 + 7 + 9 + 3 + 4 + 7 + 2 = 666.

10581619793472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10581619793472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10581619793471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125179573 + ... + 125264075.

It is an arithmetic number, because the mean of its divisors is an integer number (111147829520).

It is a 1-persistent number, because it is pandigital, but 2⋅10581619793472 = 21163239586944 is not.

Almost surely, 2^{10581619793472} is an apocalyptic number.

10581619793472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10581619793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672835359360).

10581619793472 is an abundant number, since it is smaller than the sum of its proper divisors (26764050925248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10581619793472 is a wasteful number, since it uses less digits than its factorization.

10581619793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86930 (or 86917 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 10581619793472 in words is "ten trillion, five hundred eighty-one billion, six hundred nineteen million, seven hundred ninety-three thousand, four hundred seventy-two".