83317739028480 has 1360 divisors, whose sum is σ = 328398587630784. Its totient is φ = 20041181429760.

The previous prime is 83317739028401. The next prime is 83317739028541. The reversal of 83317739028480 is 8482093771338.

83317739028480 is a `hidden beast` number, since 8 + 3 + 31 + 77 + 39 + 0 + 28 + 480 = 666.

It is a super-2 number, since 2×83317739028480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39998913519 + ... + 39998915601.

Almost surely, 2^{83317739028480} is an apocalyptic number.

83317739028480 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 83317739028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164199293815392).

83317739028480 is an abundant number, since it is smaller than the sum of its proper divisors (245080848602304).

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

83317739028480 is a wasteful number, since it uses less digits than its factorization.

83317739028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 83317739028480 in words is "eighty-three trillion, three hundred seventeen billion, seven hundred thirty-nine million, twenty-eight thousand, four hundred eighty".