116873097600 has 384 divisors, whose sum is σ = 443865876480. Its totient is φ = 26475724800.

The previous prime is 116873097587. The next prime is 116873097619. The reversal of 116873097600 is 6790378611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 116873097600.

It is a congruent number.

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, 7585905 + ... + 7601295.

It is an arithmetic number, because the mean of its divisors is an integer number (1155900720).

Almost surely, 2^116873097600 is an apocalyptic number.

116873097600 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 116873097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221932938240).

116873097600 is an abundant number, since it is smaller than the sum of its proper divisors (326992778880).

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

116873097600 is a wasteful number, since it uses less digits than its factorization.

116873097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15538 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 116873097600 in words is "one hundred sixteen billion, eight hundred seventy-three million, ninety-seven thousand, six hundred".