117077207760 has 320 divisors, whose sum is σ = 414905587200. Its totient is φ = 30331072512.

The previous prime is 117077207749. The next prime is 117077207761. The reversal of 117077207760 is 67702770711.

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 (117077207761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11786476 + ... + 11796404.

It is an arithmetic number, because the mean of its divisors is an integer number (1296579960).

Almost surely, 2^117077207760 is an apocalyptic number.

117077207760 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 117077207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207452793600).

117077207760 is an abundant number, since it is smaller than the sum of its proper divisors (297828379440).

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

117077207760 is a wasteful number, since it uses less digits than its factorization.

117077207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 45.

The spelling of 117077207760 in words is "one hundred seventeen billion, seventy-seven million, two hundred seven thousand, seven hundred sixty".