116497180800 has 1920 divisors, whose sum is σ = 578494224000. Its totient is φ = 22295347200.

The previous prime is 116497180783. The next prime is 116497180801. The reversal of 116497180800 is 8081794611.

It is a happy number.

116497180800 is a `hidden beast` number, since 1 + 1 + 6 + 497 + 1 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116497180801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 259458976 + ... + 259459424.

It is an arithmetic number, because the mean of its divisors is an integer number (301299075).

Almost surely, 2^116497180800 is an apocalyptic number.

116497180800 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 116497180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289247112000).

116497180800 is an abundant number, since it is smaller than the sum of its proper divisors (461997043200).

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

116497180800 is a wasteful number, since it uses less digits than its factorization.

116497180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 116497180800 in words is "one hundred sixteen billion, four hundred ninety-seven million, one hundred eighty thousand, eight hundred".