117084986400 has 288 divisors, whose sum is σ = 385703313408. Its totient is φ = 30848947200.

The previous prime is 117084986399. The next prime is 117084986413. The reversal of 117084986400 is 4689480711.

117084986400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117084986400.

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, 74718417 + ... + 74719983.

It is an arithmetic number, because the mean of its divisors is an integer number (1339247616).

Almost surely, 2^117084986400 is an apocalyptic number.

117084986400 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 117084986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192851656704).

117084986400 is an abundant number, since it is smaller than the sum of its proper divisors (268618327008).

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

117084986400 is a wasteful number, since it uses less digits than its factorization.

117084986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 117084986400 in words is "one hundred seventeen billion, eighty-four million, nine hundred eighty-six thousand, four hundred".