116878584000 has 448 divisors, whose sum is σ = 401273832960. Its totient is φ = 29940019200.

The previous prime is 116878583917. The next prime is 116878584007. The reversal of 116878584000 is 485878611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (116878584007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213671727 + ... + 213672273.

It is an arithmetic number, because the mean of its divisors is an integer number (895700520).

Almost surely, 2^116878584000 is an apocalyptic number.

116878584000 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 116878584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200636916480).

116878584000 is an abundant number, since it is smaller than the sum of its proper divisors (284395248960).

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

116878584000 is a wasteful number, since it uses less digits than its factorization.

116878584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 116878584000 in words is "one hundred sixteen billion, eight hundred seventy-eight million, five hundred eighty-four thousand".