115731264000 has 640 divisors, whose sum is σ = 431393174784. Its totient is φ = 27279360000.

The previous prime is 115731263971. The next prime is 115731264023. The reversal of 115731264000 is 462137511.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×115731264000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78143260 + ... + 78144740.

Almost surely, 2^115731264000 is an apocalyptic number.

115731264000 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 115731264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215696587392).

115731264000 is an abundant number, since it is smaller than the sum of its proper divisors (315661910784).

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

115731264000 is a wasteful number, since it uses less digits than its factorization.

115731264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 115731264000 in words is "one hundred fifteen billion, seven hundred thirty-one million, two hundred sixty-four thousand".