115053062400 has 324 divisors, whose sum is σ = 435540881412. Its totient is φ = 28875816960.

The previous prime is 115053062393. The next prime is 115053062413. The reversal of 115053062400 is 4260350511.

115053062400 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 5 + 30 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1154912256 + 113898150144 = 33984^2 + 337488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 920452 + ... + 1037948.

Almost surely, 2^115053062400 is an apocalyptic number.

115053062400 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 115053062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217770440706).

115053062400 is an abundant number, since it is smaller than the sum of its proper divisors (320487819012).

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

115053062400 is a wasteful number, since it uses less digits than its factorization.

115053062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117546 (or 117524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 115053062400 in words is "one hundred fifteen billion, fifty-three million, sixty-two thousand, four hundred".