115076459151360 has 1440 divisors, whose sum is σ = 489113942204160. Its totient is φ = 25395292274688.

The previous prime is 115076459151349. The next prime is 115076459151463. The reversal of 115076459151360 is 63151954670511.

115076459151360 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 7 + 6 + 459 + 151 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 115076459151297 and 115076459151306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4041017442 + ... + 4041045918.

It is an arithmetic number, because the mean of its divisors is an integer number (339662459864).

Almost surely, 2^{115076459151360} is an apocalyptic number.

115076459151360 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 115076459151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244556971102080).

115076459151360 is an abundant number, since it is smaller than the sum of its proper divisors (374037483052800).

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

115076459151360 is an frugal number, since it uses more digits than its factorization.

115076459151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28561 (or 28523 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 115076459151360 in words is "one hundred fifteen trillion, seventy-six billion, four hundred fifty-nine million, one hundred fifty-one thousand, three hundred sixty".