10155764736 has 528 divisors, whose sum is σ = 33976924800. Its totient is φ = 2898395136.

The previous prime is 10155764719. The next prime is 10155764737. The reversal of 10155764736 is 63746755101.

10155764736 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 576 + 4 + 73 + 6 = 666.

It is a super-2 number, since 2×10155764736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10155764691 and 10155764700.

It is not an unprimeable number, because it can be changed into a prime (10155764737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128553945 + ... + 128554023.

Almost surely, 2^10155764736 is an apocalyptic number.

10155764736 is a gapful number since it is divisible by the number (16) 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 10155764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988462400).

10155764736 is an abundant number, since it is smaller than the sum of its proper divisors (23821160064).

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

10155764736 is a wasteful number, since it uses less digits than its factorization.

10155764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

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

The spelling of 10155764736 in words is "ten billion, one hundred fifty-five million, seven hundred sixty-four thousand, seven hundred thirty-six".