116025680400 has 480 divisors, whose sum is σ = 455239815168. Its totient is φ = 24679987200.

The previous prime is 116025680389. The next prime is 116025680411. The reversal of 116025680400 is 4086520611.

It is an interprime number because it is at equal distance from previous prime (116025680389) and next prime (116025680411).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7140285 + ... + 7156515.

Almost surely, 2^116025680400 is an apocalyptic number.

116025680400 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 116025680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227619907584).

116025680400 is an abundant number, since it is smaller than the sum of its proper divisors (339214134768).

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

116025680400 is a wasteful number, since it uses less digits than its factorization.

116025680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 116025680400 in words is "one hundred sixteen billion, twenty-five million, six hundred eighty thousand, four hundred".