11157252550920 has 512 divisors, whose sum is σ = 43154037964800. Its totient is φ = 2511326509056.

The previous prime is 11157252550853. The next prime is 11157252550973. The reversal of 11157252550920 is 2905525275111.

11157252550920 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 7 + 2 + 5 + 2 + 550 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357050737 + ... + 357081983.

It is an arithmetic number, because the mean of its divisors is an integer number (84285230400).

Almost surely, 2^{11157252550920} is an apocalyptic number.

11157252550920 is a gapful number since it is divisible by the number (10) 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 11157252550920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577018982400).

11157252550920 is an abundant number, since it is smaller than the sum of its proper divisors (31996785413880).

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

11157252550920 is a wasteful number, since it uses less digits than its factorization.

11157252550920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31994 (or 31984 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 45.

The spelling of 11157252550920 in words is "eleven trillion, one hundred fifty-seven billion, two hundred fifty-two million, five hundred fifty thousand, nine hundred twenty".