115828970400 has 1728 divisors, whose sum is σ = 524126453760. Its totient is φ = 23639040000.

The previous prime is 115828970371. The next prime is 115828970417. The reversal of 115828970400 is 4079828511.

115828970400 is a `hidden beast` number, since 1 + 158 + 2 + 8 + 97 + 0 + 400 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 606434305 + ... + 606434495.

It is an arithmetic number, because the mean of its divisors is an integer number (303313920).

Almost surely, 2^115828970400 is an apocalyptic number.

115828970400 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 115828970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262063226880).

115828970400 is an abundant number, since it is smaller than the sum of its proper divisors (408297483360).

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

115828970400 is a wasteful number, since it uses less digits than its factorization.

115828970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 115828970400 in words is "one hundred fifteen billion, eight hundred twenty-eight million, nine hundred seventy thousand, four hundred".