116799782400 has 720 divisors, whose sum is σ = 480487975968. Its totient is φ = 26542080000.

The previous prime is 116799782377. The next prime is 116799782419. The reversal of 116799782400 is 4287997611.

116799782400 is a `hidden beast` number, since 1 + 1 + 6 + 79 + 97 + 82 + 400 = 666.

116799782400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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, 194342100 + ... + 194342700.

Almost surely, 2^116799782400 is an apocalyptic number.

116799782400 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 116799782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240243987984).

116799782400 is an abundant number, since it is smaller than the sum of its proper divisors (363688193568).

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

116799782400 is a wasteful number, since it uses less digits than its factorization.

116799782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 116799782400 in words is "one hundred sixteen billion, seven hundred ninety-nine million, seven hundred eighty-two thousand, four hundred".