116367552000 has 1920 divisors, whose sum is σ = 531108864000. Its totient is φ = 24385536000.

The previous prime is 116367551959. The next prime is 116367552047. The reversal of 116367552000 is 255763611.

116367552000 is a `hidden beast` number, since 1 + 1 + 63 + 6 + 75 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3753791985 + ... + 3753792015.

It is an arithmetic number, because the mean of its divisors is an integer number (276619200).

Almost surely, 2^116367552000 is an apocalyptic number.

116367552000 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 116367552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265554432000).

116367552000 is an abundant number, since it is smaller than the sum of its proper divisors (414741312000).

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

116367552000 is an equidigital number, since it uses as much as digits as its factorization.

116367552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 116367552000 in words is "one hundred sixteen billion, three hundred sixty-seven million, five hundred fifty-two thousand".