115491990758400 has 1485 divisors, whose sum is σ = 455326290732819. Its totient is φ = 28920197283840.

The previous prime is 115491990758387. The next prime is 115491990758497. The reversal of 115491990758400 is 4857099194511.

The square root of 115491990758400 is 10746720.

It is a perfect power (a square), and thus also a powerful number.

115491990758400 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 91 + 9 + 90 + 7 + 58 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2701473555456 + 112790517202944 = 1643616^2 + 10620288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 263079705381 + ... + 263079705819.

Almost surely, 2^{115491990758400} is an apocalyptic number.

115491990758400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115491990758400 is the 10746720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115491990758400

115491990758400 is an abundant number, since it is smaller than the sum of its proper divisors (339834299974419).

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

115491990758400 is an frugal number, since it uses more digits than its factorization.

115491990758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 115491990758400 in words is "one hundred fifteen trillion, four hundred ninety-one billion, nine hundred ninety million, seven hundred fifty-eight thousand, four hundred".