115137470796480 has 1792 divisors, whose sum is σ = 460789902213120. Its totient is φ = 26819212492800.

The previous prime is 115137470796479. The next prime is 115137470796497. The reversal of 115137470796480 is 84697074731511.

It is a happy number.

115137470796480 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 37 + 470 + 7 + 96 + 48 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126385807225 + ... + 126385808135.

Almost surely, 2^{115137470796480} is an apocalyptic number.

115137470796480 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 115137470796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230394951106560).

115137470796480 is an abundant number, since it is smaller than the sum of its proper divisors (345652431416640).

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

115137470796480 is a wasteful number, since it uses less digits than its factorization.

115137470796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 115137470796480 in words is "one hundred fifteen trillion, one hundred thirty-seven billion, four hundred seventy million, seven hundred ninety-six thousand, four hundred eighty".