116729877600 has 1080 divisors, whose sum is σ = 501616878840. Its totient is φ = 26336378880.

The previous prime is 116729877533. The next prime is 116729877617. The reversal of 116729877600 is 6778927611.

116729877600 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 29 + 8 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 307994211 + ... + 307994589.

It is an arithmetic number, because the mean of its divisors is an integer number (464460073).

Almost surely, 2^116729877600 is an apocalyptic number.

116729877600 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 116729877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250808439420).

116729877600 is an abundant number, since it is smaller than the sum of its proper divisors (384887001240).

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

116729877600 is a wasteful number, since it uses less digits than its factorization.

116729877600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 116729877600 in words is "one hundred sixteen billion, seven hundred twenty-nine million, eight hundred seventy-seven thousand, six hundred".