117777784320 has 1920 divisors, whose sum is σ = 537931570176. Its totient is φ = 24078974976.

The previous prime is 117777784273. The next prime is 117777784381. The reversal of 117777784320 is 23487777711.

117777784320 is a `hidden beast` number, since 1 + 1 + 77 + 77 + 78 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2739018219 + ... + 2739018261.

Almost surely, 2^117777784320 is an apocalyptic number.

117777784320 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 117777784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268965785088).

117777784320 is an abundant number, since it is smaller than the sum of its proper divisors (420153785856).

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

117777784320 is an equidigital number, since it uses as much as digits as its factorization.

117777784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 54.

The spelling of 117777784320 in words is "one hundred seventeen billion, seven hundred seventy-seven million, seven hundred eighty-four thousand, three hundred twenty".