115375478400 has 1728 divisors, whose sum is σ = 544522960800. Its totient is φ = 22992076800.

The previous prime is 115375478377. The next prime is 115375478453. The reversal of 115375478400 is 4874573511.

115375478400 is a `hidden beast` number, since 1 + 1 + 537 + 5 + 4 + 78 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 348566235 + ... + 348566565.

Almost surely, 2^115375478400 is an apocalyptic number.

115375478400 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 115375478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272261480400).

115375478400 is an abundant number, since it is smaller than the sum of its proper divisors (429147482400).

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

115375478400 is a wasteful number, since it uses less digits than its factorization.

115375478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 115375478400 in words is "one hundred fifteen billion, three hundred seventy-five million, four hundred seventy-eight thousand, four hundred".