11252189520 has 400 divisors, whose sum is σ = 45916561152. Its totient is φ = 2517765120.

The previous prime is 11252189497. The next prime is 11252189579. The reversal of 11252189520 is 2598125211.

11252189520 is a `hidden beast` number, since 1 + 1 + 2 + 52 + 1 + 89 + 520 = 666.

11252189520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11252189520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 920569 + ... + 932711.

Almost surely, 2^11252189520 is an apocalyptic number.

11252189520 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 11252189520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958280576).

11252189520 is an abundant number, since it is smaller than the sum of its proper divisors (34664371632).

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

11252189520 is a wasteful number, since it uses less digits than its factorization.

11252189520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 11252189520 in words is "eleven billion, two hundred fifty-two million, one hundred eighty-nine thousand, five hundred twenty".