11307873945960 has 384 divisors, whose sum is σ = 39099746649600. Its totient is φ = 2830480773120.

The previous prime is 11307873945943. The next prime is 11307873946027. The reversal of 11307873945960 is 6954937870311.

11307873945960 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 8 + 7 + 39 + 4 + 596 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40791342 + ... + 41067618.

It is an arithmetic number, because the mean of its divisors is an integer number (101822256900).

Almost surely, 2^{11307873945960} is an apocalyptic number.

11307873945960 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 11307873945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549873324800).

11307873945960 is an abundant number, since it is smaller than the sum of its proper divisors (27791872703640).

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

11307873945960 is a wasteful number, since it uses less digits than its factorization.

11307873945960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276441 (or 276434 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 11307873945960 in words is "eleven trillion, three hundred seven billion, eight hundred seventy-three million, nine hundred forty-five thousand, nine hundred sixty".