11552027992128 has 336 divisors, whose sum is σ = 37355478451200. Its totient is φ = 3388455383040.

The previous prime is 11552027992081. The next prime is 11552027992217. The reversal of 11552027992128 is 82129972025511.

11552027992128 is a `hidden beast` number, since 1 + 1 + 5 + 520 + 2 + 7 + 9 + 92 + 1 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16818313 + ... + 17491703.

It is an arithmetic number, because the mean of its divisors is an integer number (111177019200).

Almost surely, 2^{11552027992128} is an apocalyptic number.

11552027992128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552027992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677739225600).

11552027992128 is an abundant number, since it is smaller than the sum of its proper divisors (25803450459072).

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

11552027992128 is a wasteful number, since it uses less digits than its factorization.

11552027992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673530 (or 673517 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 11552027992128 in words is "eleven trillion, five hundred fifty-two billion, twenty-seven million, nine hundred ninety-two thousand, one hundred twenty-eight".