115082946720 has 960 divisors, whose sum is σ = 484093919232. Its totient is φ = 25194240000.

The previous prime is 115082946703. The next prime is 115082946731. The reversal of 115082946720 is 27649280511.

115082946720 is a `hidden beast` number, since 11 + 508 + 29 + 46 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 424660185 + ... + 424660455.

Almost surely, 2^115082946720 is an apocalyptic number.

115082946720 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 115082946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242046959616).

115082946720 is an abundant number, since it is smaller than the sum of its proper divisors (369010972512).

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

115082946720 is a wasteful number, since it uses less digits than its factorization.

115082946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 115082946720 in words is "one hundred fifteen billion, eighty-two million, nine hundred forty-six thousand, seven hundred twenty".