116908012800 has 540 divisors, whose sum is σ = 439467295036. Its totient is φ = 30656102400.

The previous prime is 116908012729. The next prime is 116908012801. The reversal of 116908012800 is 8210809611.

It can be written as a sum of positive squares in 6 ways, for example, as 46780498944 + 70127513856 = 216288^2 + 264816^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116908012801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31620552 + ... + 31624248.

Almost surely, 2^116908012800 is an apocalyptic number.

116908012800 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 116908012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219733647518).

116908012800 is an abundant number, since it is smaller than the sum of its proper divisors (322559282236).

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

116908012800 is an equidigital number, since it uses as much as digits as its factorization.

116908012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 116908012800 in words is "one hundred sixteen billion, nine hundred eight million, twelve thousand, eight hundred".