117966153600 has 1152 divisors, whose sum is σ = 472118220000. Its totient is φ = 28725903360.

The previous prime is 117966153593. The next prime is 117966153607. The reversal of 117966153600 is 6351669711.

It is an interprime number because it is at equal distance from previous prime (117966153593) and next prime (117966153607).

It is a tau number, because it is divible by the number of its divisors (1152).

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 (117966153607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1325462356 + ... + 1325462444.

Almost surely, 2^117966153600 is an apocalyptic number.

117966153600 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 117966153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236059110000).

117966153600 is an abundant number, since it is smaller than the sum of its proper divisors (354152066400).

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

117966153600 is a wasteful number, since it uses less digits than its factorization.

117966153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 151 counting only the distinct ones).

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

The spelling of 117966153600 in words is "one hundred seventeen billion, nine hundred sixty-six million, one hundred fifty-three thousand, six hundred".