117061102800 has 300 divisors, whose sum is σ = 420583725760. Its totient is φ = 31182071040.

The previous prime is 117061102789. The next prime is 117061102811. The reversal of 117061102800 is 8201160711.

It is an interprime number because it is at equal distance from previous prime (117061102789) and next prime (117061102811).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46103931 + ... + 46106469.

Almost surely, 2^117061102800 is an apocalyptic number.

117061102800 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 117061102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210291862880).

117061102800 is an abundant number, since it is smaller than the sum of its proper divisors (303522622960).

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

117061102800 is a wasteful number, since it uses less digits than its factorization.

117061102800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 117061102800 in words is "one hundred seventeen billion, sixty-one million, one hundred two thousand, eight hundred".