10601915904 has 320 divisors, whose sum is σ = 33542942400. Its totient is φ = 3294756864.

The previous prime is 10601915899. The next prime is 10601915957. The reversal of 10601915904 is 40951910601.

10601915904 is a `hidden beast` number, since 1 + 0 + 60 + 1 + 9 + 1 + 590 + 4 = 666.

It is a super-2 number, since 2×10601915904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46296462 + ... + 46296690.

It is an arithmetic number, because the mean of its divisors is an integer number (104821695).

Almost surely, 2^10601915904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10601915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771471200).

10601915904 is an abundant number, since it is smaller than the sum of its proper divisors (22941026496).

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

10601915904 is a wasteful number, since it uses less digits than its factorization.

10601915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10601915904 in words is "ten billion, six hundred one million, nine hundred fifteen thousand, nine hundred four".