115209768960 has 1664 divisors, whose sum is σ = 507281080320. Its totient is φ = 24418713600.

The previous prime is 115209768953. The next prime is 115209768983. The reversal of 115209768960 is 69867902511.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115209768897 and 115209768906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2451271657 + ... + 2451271703.

Almost surely, 2^115209768960 is an apocalyptic number.

115209768960 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 115209768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253640540160).

115209768960 is an abundant number, since it is smaller than the sum of its proper divisors (392071311360).

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

115209768960 is a wasteful number, since it uses less digits than its factorization.

115209768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 115209768960 in words is "one hundred fifteen billion, two hundred nine million, seven hundred sixty-eight thousand, nine hundred sixty".