116629858800 has 900 divisors, whose sum is σ = 524461729176. Its totient is φ = 24603264000.

The previous prime is 116629858733. The next prime is 116629858847. The reversal of 116629858800 is 8858926611.

It is a happy number.

116629858800 is a `hidden beast` number, since 1 + 1 + 6 + 629 + 8 + 5 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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, 20635975 + ... + 20641625.

Almost surely, 2^116629858800 is an apocalyptic number.

116629858800 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 116629858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262230864588).

116629858800 is an abundant number, since it is smaller than the sum of its proper divisors (407831870376).

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

116629858800 is a wasteful number, since it uses less digits than its factorization.

116629858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 116629858800 in words is "one hundred sixteen billion, six hundred twenty-nine million, eight hundred fifty-eight thousand, eight hundred".