83360607120 has 300 divisors, whose sum is σ = 326598829596. Its totient is φ = 19053457920.

The previous prime is 83360607107. The next prime is 83360607157. The reversal of 83360607120 is 2170606338.

It is a happy number.

83360607120 is a `hidden beast` number, since 8 + 3 + 36 + 0 + 607 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13968403344 + 69392203776 = 118188^2 + 263424^2 .

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1704610 + ... + 1752830.

Almost surely, 2^83360607120 is an apocalyptic number.

83360607120 is a gapful number since it is divisible by the number (80) 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 83360607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163299414798).

83360607120 is an abundant number, since it is smaller than the sum of its proper divisors (243238222476).

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

83360607120 is a wasteful number, since it uses less digits than its factorization.

83360607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48268 (or 48238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 83360607120 in words is "eighty-three billion, three hundred sixty million, six hundred seven thousand, one hundred twenty".