11657706156252 has 192 divisors, whose sum is σ = 36277057958400. Its totient is φ = 3198303636480.

The previous prime is 11657706156211. The next prime is 11657706156289. The reversal of 11657706156252 is 25265160775611.

11657706156252 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 7 + 0 + 6 + 1 + 5 + 625 + 2 = 666.

11657706156252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11657706156252² (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, 12399774 + ... + 13306757.

It is an arithmetic number, because the mean of its divisors is an integer number (188943010200).

Almost surely, 2^{11657706156252} is an apocalyptic number.

11657706156252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11657706156252 is an abundant number, since it is smaller than the sum of its proper divisors (24619351802148).

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

11657706156252 is a wasteful number, since it uses less digits than its factorization.

11657706156252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25706593 (or 25706585 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 11657706156252 in words is "eleven trillion, six hundred fifty-seven billion, seven hundred six million, one hundred fifty-six thousand, two hundred fifty-two".