116221782600 has 432 divisors, whose sum is σ = 490315076160. Its totient is φ = 24149664000.

The previous prime is 116221782581. The next prime is 116221782617. The reversal of 116221782600 is 6287122611.

116221782600 is a `hidden beast` number, since 1 + 1 + 622 + 1 + 7 + 8 + 26 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1486485 + ... + 1562715.

Almost surely, 2^116221782600 is an apocalyptic number.

116221782600 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 116221782600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245157538080).

116221782600 is an abundant number, since it is smaller than the sum of its proper divisors (374093293560).

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

116221782600 is a wasteful number, since it uses less digits than its factorization.

116221782600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76282 (or 76259 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 116221782600 in words is "one hundred sixteen billion, two hundred twenty-one million, seven hundred eighty-two thousand, six hundred".