116202892800 has 240 divisors, whose sum is σ = 385842683952. Its totient is φ = 30828134400.

The previous prime is 116202892789. The next prime is 116202892807. The reversal of 116202892800 is 8298202611.

116202892800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×116202892800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116202892807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557120 + ... + 7572480.

Almost surely, 2^116202892800 is an apocalyptic number.

116202892800 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 116202892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192921341976).

116202892800 is an abundant number, since it is smaller than the sum of its proper divisors (269639791152).

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

116202892800 is a wasteful number, since it uses less digits than its factorization.

116202892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 116202892800 in words is "one hundred sixteen billion, two hundred two million, eight hundred ninety-two thousand, eight hundred".