115064263776000 has 576 divisors, whose sum is σ = 476491607294976. Its totient is φ = 23909455872000.

The previous prime is 115064263775969. The next prime is 115064263776061. The reversal of 115064263776000 is 677362460511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391027 + ... + 15175026.

It is an arithmetic number, because the mean of its divisors is an integer number (827242373776).

Almost surely, 2^{115064263776000} is an apocalyptic number.

115064263776000 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 115064263776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238245803647488).

115064263776000 is an abundant number, since it is smaller than the sum of its proper divisors (361427343518976).

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

115064263776000 is a wasteful number, since it uses less digits than its factorization.

115064263776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566105 (or 15566081 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 115064263776000 in words is "one hundred fifteen trillion, sixty-four billion, two hundred sixty-three million, seven hundred seventy-six thousand".