116602790400 has 360 divisors, whose sum is σ = 427011739440. Its totient is φ = 30369669120.

The previous prime is 116602790399. The next prime is 116602790401. The reversal of 116602790400 is 4097206611.

116602790400 is a `hidden beast` number, since 1 + 1 + 6 + 602 + 7 + 9 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116602790399) and next prime (116602790401).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (116602790401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4941831 + ... + 4965369.

Almost surely, 2^116602790400 is an apocalyptic number.

116602790400 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 116602790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213505869720).

116602790400 is an abundant number, since it is smaller than the sum of its proper divisors (310408949040).

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

116602790400 is a wasteful number, since it uses less digits than its factorization.

116602790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23616 (or 23592 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 116602790400 in words is "one hundred sixteen billion, six hundred two million, seven hundred ninety thousand, four hundred".