11157860724480 has 432 divisors, whose sum is σ = 39121927965120. Its totient is φ = 2935819468800.

The previous prime is 11157860724421. The next prime is 11157860724487. The reversal of 11157860724480 is 8442706875111.

It is a happy number.

11157860724480 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 7 + 8 + 607 + 24 + 4 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11157860724487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302600445 + ... + 302637315.

Almost surely, 2^{11157860724480} is an apocalyptic number.

11157860724480 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 11157860724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560963982560).

11157860724480 is an abundant number, since it is smaller than the sum of its proper divisors (27964067240640).

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

11157860724480 is a wasteful number, since it uses less digits than its factorization.

11157860724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37248 (or 37231 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 11157860724480 in words is "eleven trillion, one hundred fifty-seven billion, eight hundred sixty million, seven hundred twenty-four thousand, four hundred eighty".