116729573688000 has 6272 divisors, whose sum is σ = 568569287430144. Its totient is φ = 23057768448000.

The previous prime is 116729573687941. The next prime is 116729573688019. The reversal of 116729573688000 is 886375927611.

116729573688000 is a `hidden beast` number, since 116 + 72 + 95 + 7 + 368 + 8 + 0 + 0 + 0 = 666.

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 895 ways as a sum of consecutive naturals, for example, 891065447935 + ... + 891065448065.

Almost surely, 2^{116729573688000} is an apocalyptic number.

116729573688000 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 116729573688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284284643715072).

116729573688000 is an abundant number, since it is smaller than the sum of its proper divisors (451839713742144).

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

116729573688000 is a wasteful number, since it uses less digits than its factorization.

116729573688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 116729573688000 in words is "one hundred sixteen trillion, seven hundred twenty-nine billion, five hundred seventy-three million, six hundred eighty-eight thousand".