115392763200000 has 5760 divisors, whose sum is σ = 514270104606720. Its totient is φ = 22708224000000.

The previous prime is 115392763199981. The next prime is 115392763200059. The reversal of 115392763200000 is 2367293511.

It is a happy number.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3722347199985 + ... + 3722347200015.

It is an arithmetic number, because the mean of its divisors is an integer number (89283004272).

Almost surely, 2^{115392763200000} is an apocalyptic number.

115392763200000 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 115392763200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257135052303360).

115392763200000 is an abundant number, since it is smaller than the sum of its proper divisors (398877341406720).

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

115392763200000 is a wasteful number, since it uses less digits than its factorization.

115392763200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 115392763200000 in words is "one hundred fifteen trillion, three hundred ninety-two billion, seven hundred sixty-three million, two hundred thousand".