116953761600 has 756 divisors, whose sum is σ = 465393132204. Its totient is φ = 28755025920.

The previous prime is 116953761583. The next prime is 116953761607. The reversal of 116953761600 is 6167359611.

116953761600 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 5 + 37 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 776402496 + 116177359104 = 27864^2 + 340848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116953761607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136468372 + ... + 136469228.

Almost surely, 2^116953761600 is an apocalyptic number.

116953761600 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 116953761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232696566102).

116953761600 is an abundant number, since it is smaller than the sum of its proper divisors (348439370604).

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

116953761600 is an frugal number, since it uses more digits than its factorization.

116953761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 116953761600 in words is "one hundred sixteen billion, nine hundred fifty-three million, seven hundred sixty-one thousand, six hundred".