118625510400 has 528 divisors, whose sum is σ = 424981174464. Its totient is φ = 29066526720.

The previous prime is 118625510359. The next prime is 118625510413. The reversal of 118625510400 is 4015526811.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56139744 + ... + 56141856.

It is an arithmetic number, because the mean of its divisors is an integer number (804888588).

Almost surely, 2^118625510400 is an apocalyptic number.

118625510400 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 118625510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212490587232).

118625510400 is an abundant number, since it is smaller than the sum of its proper divisors (306355664064).

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

118625510400 is a wasteful number, since it uses less digits than its factorization.

118625510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 118625510400 in words is "one hundred eighteen billion, six hundred twenty-five million, five hundred ten thousand, four hundred".