117961033881600 has 3456 divisors, whose sum is σ = 548798102798400. Its totient is φ = 24614063308800.

The previous prime is 117961033881557. The next prime is 117961033881611. The reversal of 117961033881600 is 6188330169711.

117961033881600 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 610 + 3 + 3 + 8 + 8 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 287 ways as a sum of consecutive naturals, for example, 85417112910 + ... + 85417114290.

Almost surely, 2^{117961033881600} is an apocalyptic number.

117961033881600 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 117961033881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274399051399200).

117961033881600 is an abundant number, since it is smaller than the sum of its proper divisors (430837068916800).

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

117961033881600 is a wasteful number, since it uses less digits than its factorization.

117961033881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 117961033881600 in words is "one hundred seventeen trillion, nine hundred sixty-one billion, thirty-three million, eight hundred eighty-one thousand, six hundred".