11307518372160 has 336 divisors, whose sum is σ = 39782745789696. Its totient is φ = 2946569711616.

The previous prime is 11307518372141. The next prime is 11307518372173. The reversal of 11307518372160 is 6127381570311.

11307518372160 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 518 + 3 + 72 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86971522 + ... + 87101438.

It is an arithmetic number, because the mean of its divisors is an integer number (118401029136).

Almost surely, 2^{11307518372160} is an apocalyptic number.

11307518372160 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 11307518372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891372894848).

11307518372160 is an abundant number, since it is smaller than the sum of its proper divisors (28475227417536).

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

11307518372160 is a wasteful number, since it uses less digits than its factorization.

11307518372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130630 (or 130617 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11307518372160 in words is "eleven trillion, three hundred seven billion, five hundred eighteen million, three hundred seventy-two thousand, one hundred sixty".