11157957894860 has 192 divisors, whose sum is σ = 27262465671168. Its totient is φ = 3757225844736.

The previous prime is 11157957894859. The next prime is 11157957894883. The reversal of 11157957894860 is 6849875975111.

11157957894860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1882561217 + ... + 1882567143.

It is an arithmetic number, because the mean of its divisors is an integer number (141992008704).

Almost surely, 2^{11157957894860} is an apocalyptic number.

11157957894860 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 11157957894860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631232835584).

11157957894860 is an abundant number, since it is smaller than the sum of its proper divisors (16104507776308).

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

11157957894860 is a wasteful number, since it uses less digits than its factorization.

11157957894860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 71.

The spelling of 11157957894860 in words is "eleven trillion, one hundred fifty-seven billion, nine hundred fifty-seven million, eight hundred ninety-four thousand, eight hundred sixty".