116097322291200 has 936 divisors, whose sum is σ = 431874061478496. Its totient is φ = 30913560576000.

The previous prime is 116097322291109. The next prime is 116097322291261. The reversal of 116097322291200 is 2192223790611.

116097322291200 is a `hidden beast` number, since 1 + 1 + 609 + 7 + 3 + 2 + 2 + 29 + 12 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18936112135 + ... + 18936118265.

It is an arithmetic number, because the mean of its divisors is an integer number (461403911836).

Almost surely, 2^{116097322291200} is an apocalyptic number.

116097322291200 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 116097322291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215937030739248).

116097322291200 is an abundant number, since it is smaller than the sum of its proper divisors (315776739187296).

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

116097322291200 is an frugal number, since it uses more digits than its factorization.

116097322291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 116097322291200 in words is "one hundred sixteen trillion, ninety-seven billion, three hundred twenty-two million, two hundred ninety-one thousand, two hundred".