115863696748800 has 7776 divisors, whose sum is σ = 593686769614848. Its totient is φ = 20948336640000.

The previous prime is 115863696748771. The next prime is 115863696748817. The reversal of 115863696748800 is 8847696368511.

115863696748800 is a `hidden beast` number, since 1 + 1 + 5 + 86 + 3 + 6 + 9 + 67 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1395948153559 + ... + 1395948153641.

Almost surely, 2^{115863696748800} is an apocalyptic number.

115863696748800 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 115863696748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296843384807424).

115863696748800 is an abundant number, since it is smaller than the sum of its proper divisors (477823072866048).

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

115863696748800 is a wasteful number, since it uses less digits than its factorization.

115863696748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 115863696748800 in words is "one hundred fifteen trillion, eight hundred sixty-three billion, six hundred ninety-six million, seven hundred forty-eight thousand, eight hundred".