108696416400 has 480 divisors, whose sum is σ = 454521325440. Its totient is φ = 24323328000.

The previous prime is 108696416359. The next prime is 108696416401. The reversal of 108696416400 is 4614696801.

108696416400 is a `hidden beast` number, since 108 + 6 + 96 + 416 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (108696416401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509210 + ... + 1579590.

It is an arithmetic number, because the mean of its divisors is an integer number (946919428).

Almost surely, 2^108696416400 is an apocalyptic number.

108696416400 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 108696416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227260662720).

108696416400 is an abundant number, since it is smaller than the sum of its proper divisors (345824909040).

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

108696416400 is a wasteful number, since it uses less digits than its factorization.

108696416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70432 (or 70415 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 108696416400 in words is "one hundred eight billion, six hundred ninety-six million, four hundred sixteen thousand, four hundred".