116797670236800 has 1152 divisors, whose sum is σ = 526483700208000. Its totient is φ = 25126206013440.

The previous prime is 116797670236691. The next prime is 116797670236889. The reversal of 116797670236800 is 8632076797611.

116797670236800 is a `hidden beast` number, since 116 + 7 + 97 + 6 + 70 + 2 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71159781 + ... + 72782619.

It is an arithmetic number, because the mean of its divisors is an integer number (457017100875).

Almost surely, 2^{116797670236800} is an apocalyptic number.

116797670236800 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 116797670236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263241850104000).

116797670236800 is an abundant number, since it is smaller than the sum of its proper divisors (409686029971200).

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

116797670236800 is a wasteful number, since it uses less digits than its factorization.

116797670236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622903 (or 1622873 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 116797670236800 in words is "one hundred sixteen trillion, seven hundred ninety-seven billion, six hundred seventy million, two hundred thirty-six thousand, eight hundred".