116332070400 has 1680 divisors, whose sum is σ = 535740647904. Its totient is φ = 24365629440.

The previous prime is 116332070399. The next prime is 116332070417. The reversal of 116332070400 is 4070233611.

116332070400 is a `hidden beast` number, since 1 + 1 + 633 + 20 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 849139132 + ... + 849139268.

Almost surely, 2^116332070400 is an apocalyptic number.

116332070400 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 116332070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267870323952).

116332070400 is an abundant number, since it is smaller than the sum of its proper divisors (419408577504).

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

116332070400 is an equidigital number, since it uses as much as digits as its factorization.

116332070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 116332070400 in words is "one hundred sixteen billion, three hundred thirty-two million, seventy thousand, four hundred".