11157016680 has 128 divisors (see below), whose sum is σ = 37714118400. Its totient is φ = 2933280000.

The previous prime is 11157016627. The next prime is 11157016691. The reversal of 11157016680 is 8661075111.

11157016680 is a `hidden beast` number, since 1 + 1 + 1 + 570 + 1 + 6 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3930 + ... + 149430.

It is an arithmetic number, because the mean of its divisors is an integer number (294641550).

Almost surely, 2^11157016680 is an apocalyptic number.

11157016680 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 11157016680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857059200).

11157016680 is an abundant number, since it is smaller than the sum of its proper divisors (26557101720).

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

11157016680 is a wasteful number, since it uses less digits than its factorization.

11157016680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145592 (or 145582 counting only the distinct ones).

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

The spelling of 11157016680 in words is "eleven billion, one hundred fifty-seven million, sixteen thousand, six hundred eighty".