116193075609600 has 1440 divisors, whose sum is σ = 468473752010880. Its totient is φ = 28000124928000.

The previous prime is 116193075609587. The next prime is 116193075609617. The reversal of 116193075609600 is 6906570391611.

It is a happy number.

116193075609600 is a `hidden beast` number, since 1 + 1 + 6 + 19 + 3 + 0 + 7 + 560 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×116193075609600² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21045654840 + ... + 21045660360.

It is an arithmetic number, because the mean of its divisors is an integer number (325328994452).

Almost surely, 2^{116193075609600} is an apocalyptic number.

116193075609600 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 116193075609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234236876005440).

116193075609600 is an abundant number, since it is smaller than the sum of its proper divisors (352280676401280).

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

116193075609600 is a wasteful number, since it uses less digits than its factorization.

116193075609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 116193075609600 in words is "one hundred sixteen trillion, one hundred ninety-three billion, seventy-five million, six hundred nine thousand, six hundred".