11157601220 has 48 divisors (see below), whose sum is σ = 24252146688. Its totient is φ = 4307402880.

The previous prime is 11157601219. The next prime is 11157601241. The reversal of 11157601220 is 2210675111.

11157601220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11157601220.

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 15 ways as a sum of consecutive naturals, for example, 207137 + ... + 255383.

It is an arithmetic number, because the mean of its divisors is an integer number (505253056).

Almost surely, 2^11157601220 is an apocalyptic number.

11157601220 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 11157601220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126073344).

11157601220 is an abundant number, since it is smaller than the sum of its proper divisors (13094545468).

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

11157601220 is a wasteful number, since it uses less digits than its factorization.

11157601220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48660 (or 48658 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 11157601220 in words is "eleven billion, one hundred fifty-seven million, six hundred one thousand, two hundred twenty".