11500913839680 has 672 divisors, whose sum is σ = 44646015254400. Its totient is φ = 2779147210752.

The previous prime is 11500913839673. The next prime is 11500913839759. The reversal of 11500913839680 is 8693831900511.

11500913839680 is a `hidden beast` number, since 1 + 15 + 0 + 0 + 91 + 383 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 86774422 + ... + 86906858.

It is an arithmetic number, because the mean of its divisors is an integer number (66437522700).

Almost surely, 2^{11500913839680} is an apocalyptic number.

11500913839680 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 11500913839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323007627200).

11500913839680 is an abundant number, since it is smaller than the sum of its proper divisors (33145101414720).

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

11500913839680 is a wasteful number, since it uses less digits than its factorization.

11500913839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132528 (or 132489 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11500913839680 in words is "eleven trillion, five hundred billion, nine hundred thirteen million, eight hundred thirty-nine thousand, six hundred eighty".