11752223776128 has 256 divisors, whose sum is σ = 39483758707200. Its totient is φ = 3406441420800.

The previous prime is 11752223776103. The next prime is 11752223776129. The reversal of 11752223776128 is 82167732225711.

11752223776128 is a `hidden beast` number, since 1 + 1 + 7 + 522 + 2 + 37 + 7 + 61 + 28 = 666.

It is a super-2 number, since 2×11752223776128² (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 not an unprimeable number, because it can be changed into a prime (11752223776129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5846043 + ... + 7594778.

It is an arithmetic number, because the mean of its divisors is an integer number (154233432450).

Almost surely, 2^{11752223776128} is an apocalyptic number.

11752223776128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11752223776128 is an abundant number, since it is smaller than the sum of its proper divisors (27731534931072).

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

11752223776128 is a wasteful number, since it uses less digits than its factorization.

11752223776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13440878 (or 13440860 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 11752223776128 in words is "eleven trillion, seven hundred fifty-two billion, two hundred twenty-three million, seven hundred seventy-six thousand, one hundred twenty-eight".