10541372751360 has 1440 divisors, whose sum is σ = 43303996973952. Its totient is φ = 2348525813760.

The previous prime is 10541372751337. The next prime is 10541372751379. The reversal of 10541372751360 is 6315727314501.

10541372751360 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 3 + 72 + 7 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10541372751360² (a number of 27 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 143 ways as a sum of consecutive naturals, for example, 3149497207 + ... + 3149500553.

Almost surely, 2^{10541372751360} is an apocalyptic number.

10541372751360 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 10541372751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651998486976).

10541372751360 is an abundant number, since it is smaller than the sum of its proper divisors (32762624222592).

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

10541372751360 is a wasteful number, since it uses less digits than its factorization.

10541372751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 10541372751360 in words is "ten trillion, five hundred forty-one billion, three hundred seventy-two million, seven hundred fifty-one thousand, three hundred sixty".