11255602015152 has 240 divisors, whose sum is σ = 34510017110400. Its totient is φ = 3396295664640.

The previous prime is 11255602015129. The next prime is 11255602015193. The reversal of 11255602015152 is 25151020655211.

11255602015152 is a `hidden beast` number, since 1 + 1 + 2 + 556 + 0 + 2 + 0 + 1 + 51 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 364727499 + ... + 364758357.

It is an arithmetic number, because the mean of its divisors is an integer number (143791737960).

Almost surely, 2^{11255602015152} is an apocalyptic number.

11255602015152 is a gapful number since it is divisible by the number (12) 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 11255602015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255008555200).

11255602015152 is an abundant number, since it is smaller than the sum of its proper divisors (23254415095248).

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

11255602015152 is a wasteful number, since it uses less digits than its factorization.

11255602015152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856 (or 31847 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 11255602015152 in words is "eleven trillion, two hundred fifty-five billion, six hundred two million, fifteen thousand, one hundred fifty-two".