11715874560 has 576 divisors, whose sum is σ = 45430761600. Its totient is φ = 2841772032.

The previous prime is 11715874519. The next prime is 11715874571. The reversal of 11715874560 is 6547851711.

11715874560 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 5 + 87 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39985774 + ... + 39986066.

It is an arithmetic number, because the mean of its divisors is an integer number (78872850).

Almost surely, 2^11715874560 is an apocalyptic number.

11715874560 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 11715874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715380800).

11715874560 is an abundant number, since it is smaller than the sum of its proper divisors (33714887040).

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

11715874560 is a wasteful number, since it uses less digits than its factorization.

11715874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 11715874560 in words is "eleven billion, seven hundred fifteen million, eight hundred seventy-four thousand, five hundred sixty".