117920646400 has 108 divisors (see below), whose sum is σ = 293011800732. Its totient is φ = 46984069120.

The previous prime is 117920646397. The next prime is 117920646401. The reversal of 117920646400 is 4646029711.

It can be written as a sum of positive squares in 6 ways, for example, as 57517056 + 117863129344 = 7584^2 + 343312^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117920646401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608954 + ... + 1680646.

It is an arithmetic number, because the mean of its divisors is an integer number (2713072229).

Almost surely, 2^117920646400 is an apocalyptic number.

117920646400 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 117920646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146505900366).

117920646400 is an abundant number, since it is smaller than the sum of its proper divisors (175091154332).

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

117920646400 is an equidigital number, since it uses as much as digits as its factorization.

117920646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71976 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 117920646400 in words is "one hundred seventeen billion, nine hundred twenty million, six hundred forty-six thousand, four hundred".