11157208920 has 768 divisors, whose sum is σ = 46230912000. Its totient is φ = 2381322240.

The previous prime is 11157208883. The next prime is 11157208939. The reversal of 11157208920 is 2980275111.

It is a happy number.

11157208920 is a `hidden beast` number, since 1 + 1 + 1 + 572 + 0 + 89 + 2 + 0 = 666.

11157208920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 31968906 + ... + 31969254.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^11157208920 is an apocalyptic number.

11157208920 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 11157208920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

11157208920 is an abundant number, since it is smaller than the sum of its proper divisors (35073703080).

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

11157208920 is a wasteful number, since it uses less digits than its factorization.

11157208920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11157208920 in words is "eleven billion, one hundred fifty-seven million, two hundred eight thousand, nine hundred twenty".