11607875152704 has 448 divisors, whose sum is σ = 35155046784000. Its totient is φ = 3754479237120.

The previous prime is 11607875152697. The next prime is 11607875152711. The reversal of 11607875152704 is 40725157870611.

It is a happy number.

11607875152704 is a `hidden beast` number, since 1 + 1 + 60 + 7 + 8 + 7 + 51 + 527 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11607875152697) and next prime (11607875152711).

It is a super-2 number, since 2×11607875152704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144911499 + ... + 3144915189.

Almost surely, 2^{11607875152704} 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 11607875152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577523392000).

11607875152704 is an abundant number, since it is smaller than the sum of its proper divisors (23547171631296).

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

11607875152704 is a wasteful number, since it uses less digits than its factorization.

11607875152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 11607875152704 in words is "eleven trillion, six hundred seven billion, eight hundred seventy-five million, one hundred fifty-two thousand, seven hundred four".