83057800797720 has 960 divisors, whose sum is σ = 336983247881280. Its totient is φ = 17971561248768.

The previous prime is 83057800797709. The next prime is 83057800797761. The reversal of 83057800797720 is 2779700875038.

83057800797720 is a `hidden beast` number, since 8 + 30 + 578 + 0 + 0 + 7 + 9 + 7 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13402901662 + ... + 13402907858.

It is an arithmetic number, because the mean of its divisors is an integer number (351024216543).

Almost surely, 2^{83057800797720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83057800797720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168491623940640).

83057800797720 is an abundant number, since it is smaller than the sum of its proper divisors (253925447083560).

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

83057800797720 is a wasteful number, since it uses less digits than its factorization.

83057800797720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 83057800797720 in words is "eighty-three trillion, fifty-seven billion, eight hundred million, seven hundred ninety-seven thousand, seven hundred twenty".