117628600320 has 1296 divisors, whose sum is σ = 531462426768. Its totient is φ = 23781703680.

The previous prime is 117628600301. The next prime is 117628600337. The reversal of 117628600320 is 23006826711.

117628600320 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 28 + 600 + 3 + 20 = 666.

It is a super-2 number, since 2×117628600320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3179151342 + ... + 3179151378.

It is an arithmetic number, because the mean of its divisors is an integer number (410079033).

Almost surely, 2^117628600320 is an apocalyptic number.

117628600320 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 117628600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265731213384).

117628600320 is an abundant number, since it is smaller than the sum of its proper divisors (413833826448).

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

117628600320 is an equidigital number, since it uses as much as digits as its factorization.

117628600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 117628600320 in words is "one hundred seventeen billion, six hundred twenty-eight million, six hundred thousand, three hundred twenty".