11513651688 has 640 divisors, whose sum is σ = 42549408000. Its totient is φ = 2821754880.

The previous prime is 11513651671. The next prime is 11513651713. The reversal of 11513651688 is 88615631511.

It is a happy number.

11513651688 is a `hidden beast` number, since 1 + 1 + 51 + 3 + 6 + 516 + 88 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105629778 + ... + 105629886.

It is an arithmetic number, because the mean of its divisors is an integer number (66483450).

Almost surely, 2^11513651688 is an apocalyptic number.

11513651688 is a gapful number since it is divisible by the number (18) 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 11513651688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274704000).

11513651688 is an abundant number, since it is smaller than the sum of its proper divisors (31035756312).

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

11513651688 is a wasteful number, since it uses less digits than its factorization.

11513651688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 11513651688 in words is "eleven billion, five hundred thirteen million, six hundred fifty-one thousand, six hundred eighty-eight".