116198400000 has 672 divisors, whose sum is σ = 414668147040. Its totient is φ = 28835840000.

The previous prime is 116198399987. The next prime is 116198400023. The reversal of 116198400000 is 4891611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305599956 + ... + 1305600044.

It is an arithmetic number, because the mean of its divisors is an integer number (617065695).

Almost surely, 2^116198400000 is an apocalyptic number.

116198400000 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 116198400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207334073520).

116198400000 is an abundant number, since it is smaller than the sum of its proper divisors (298469747040).

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

116198400000 is an frugal number, since it uses more digits than its factorization.

116198400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 116198400000 in words is "one hundred sixteen billion, one hundred ninety-eight million, four hundred thousand".