116219156659200 has 792 divisors, whose sum is σ = 493178926111872. Its totient is φ = 26564368711680.

The previous prime is 116219156659183. The next prime is 116219156659223. The reversal of 116219156659200 is 2956651912611.

116219156659200 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 1 + 9 + 1 + 566 + 59 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 42211147 + ... + 44880053.

Almost surely, 2^{116219156659200} is an apocalyptic number.

116219156659200 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 116219156659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246589463055936).

116219156659200 is an abundant number, since it is smaller than the sum of its proper divisors (376959769452672).

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

116219156659200 is an equidigital number, since it uses as much as digits as its factorization.

116219156659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668959 (or 2668924 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 116219156659200 in words is "one hundred sixteen trillion, two hundred nineteen billion, one hundred fifty-six million, six hundred fifty-nine thousand, two hundred".