116106854400 has 648 divisors, whose sum is σ = 432716304384. Its totient is φ = 29727129600.

The previous prime is 116106854393. The next prime is 116106854443. The reversal of 116106854400 is 4458601611.

116106854400 is a `hidden beast` number, since 1 + 1 + 6 + 106 + 8 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 914227137 + ... + 914227263.

Almost surely, 2^116106854400 is an apocalyptic number.

116106854400 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 116106854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216358152192).

116106854400 is an abundant number, since it is smaller than the sum of its proper divisors (316609449984).

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

116106854400 is an equidigital number, since it uses as much as digits as its factorization.

116106854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 116106854400 in words is "one hundred sixteen billion, one hundred six million, eight hundred fifty-four thousand, four hundred".