11536616128320 has 168 divisors, whose sum is σ = 40159239565536. Its totient is φ = 3039365471232.

The previous prime is 11536616128277. The next prime is 11536616128381. The reversal of 11536616128320 is 2382161663511.

11536616128320 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 6 + 6 + 1 + 612 + 8 + 3 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 23892102 + ... + 24370181.

It is an arithmetic number, because the mean of its divisors is an integer number (239043092652).

Almost surely, 2^{11536616128320} is an apocalyptic number.

11536616128320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11536616128320 is an abundant number, since it is smaller than the sum of its proper divisors (28622623437216).

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

11536616128320 is a wasteful number, since it uses less digits than its factorization.

11536616128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48262389 (or 48262376 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11536616128320 in words is "eleven trillion, five hundred thirty-six billion, six hundred sixteen million, one hundred twenty-eight thousand, three hundred twenty".