11125912410288 has 120 divisors (see below), whose sum is σ = 33535527672192. Its totient is φ = 3423024451584.

The previous prime is 11125912410257. The next prime is 11125912410329. The reversal of 11125912410288 is 88201421952111.

11125912410288 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 591 + 24 + 10 + 28 + 8 = 666.

It is a super-2 number, since 2×11125912410288² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19302720 + ... + 19870752.

Almost surely, 2^{11125912410288} is an apocalyptic number.

11125912410288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11125912410288 is an abundant number, since it is smaller than the sum of its proper divisors (22409615261904).

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

11125912410288 is a wasteful number, since it uses less digits than its factorization.

11125912410288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578523 (or 578514 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11125912410288 in words is "eleven trillion, one hundred twenty-five billion, nine hundred twelve million, four hundred ten thousand, two hundred eighty-eight".