10581197760 has 336 divisors, whose sum is σ = 42938468352. Its totient is φ = 2340403200.

The previous prime is 10581197747. The next prime is 10581197777. The reversal of 10581197760 is 6779118501.

10581197760 is a `hidden beast` number, since 1 + 0 + 581 + 1 + 9 + 7 + 7 + 60 = 666.

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

It is a super-2 number, since 2×10581197760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616495 + ... + 633425.

Almost surely, 2^10581197760 is an apocalyptic number.

10581197760 is a gapful number since it is divisible by the number (10) 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 10581197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469234176).

10581197760 is an abundant number, since it is smaller than the sum of its proper divisors (32357270592).

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

10581197760 is a wasteful number, since it uses less digits than its factorization.

10581197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 10581197760 in words is "ten billion, five hundred eighty-one million, one hundred ninety-seven thousand, seven hundred sixty".