11057732280 has 512 divisors, whose sum is σ = 45113241600. Its totient is φ = 2351628288.

The previous prime is 11057732227. The next prime is 11057732293. The reversal of 11057732280 is 8223775011.

11057732280 is a `hidden beast` number, since 1 + 1 + 0 + 577 + 3 + 2 + 2 + 80 = 666.

11057732280 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 127 ways as a sum of consecutive naturals, for example, 12465997 + ... + 12466883.

It is an arithmetic number, because the mean of its divisors is an integer number (88111800).

Almost surely, 2^11057732280 is an apocalyptic number.

11057732280 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 11057732280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22556620800).

11057732280 is an abundant number, since it is smaller than the sum of its proper divisors (34055509320).

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

11057732280 is a wasteful number, since it uses less digits than its factorization.

11057732280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11057732280 in words is "eleven billion, fifty-seven million, seven hundred thirty-two thousand, two hundred eighty".