115051160400 has 240 divisors, whose sum is σ = 406036922688. Its totient is φ = 27614720000.

The previous prime is 115051160381. The next prime is 115051160431. The reversal of 115051160400 is 4061150511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1290052 + ... + 1376348.

Almost surely, 2^115051160400 is an apocalyptic number.

115051160400 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 115051160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203018461344).

115051160400 is an abundant number, since it is smaller than the sum of its proper divisors (290985762288).

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

115051160400 is a wasteful number, since it uses less digits than its factorization.

115051160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86430 (or 86419 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 115051160400 in words is "one hundred fifteen billion, fifty-one million, one hundred sixty thousand, four hundred".