116291288080 has 320 divisors, whose sum is σ = 322719344640. Its totient is φ = 38533017600.

The previous prime is 116291287979. The next prime is 116291288101. The reversal of 116291288080 is 80882192611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 116291288080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35681491 + ... + 35684749.

It is an arithmetic number, because the mean of its divisors is an integer number (1008497952).

Almost surely, 2^116291288080 is an apocalyptic number.

116291288080 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 116291288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161359672320).

116291288080 is an abundant number, since it is smaller than the sum of its proper divisors (206428056560).

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

116291288080 is a wasteful number, since it uses less digits than its factorization.

116291288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 46.

The spelling of 116291288080 in words is "one hundred sixteen billion, two hundred ninety-one million, two hundred eighty-eight thousand, eighty".