83983173857280 has 3328 divisors, whose sum is σ = 341225789184000. Its totient is φ = 19744759480320.

The previous prime is 83983173857269. The next prime is 83983173857287. The reversal of 83983173857280 is 8275837138938.

83983173857280 is a `hidden beast` number, since 8 + 3 + 9 + 8 + 3 + 17 + 38 + 572 + 8 + 0 = 666.

It is a super-2 number, since 2×83983173857280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83983173857199 and 83983173857208.

It is not an unprimeable number, because it can be changed into a prime (83983173857287) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1011845468119 + ... + 1011845468201.

Almost surely, 2^{83983173857280} is an apocalyptic number.

83983173857280 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 83983173857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170612894592000).

83983173857280 is an abundant number, since it is smaller than the sum of its proper divisors (257242615326720).

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

83983173857280 is an equidigital number, since it uses as much as digits as its factorization.

83983173857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 83983173857280 in words is "eighty-three trillion, nine hundred eighty-three billion, one hundred seventy-three million, eight hundred fifty-seven thousand, two hundred eighty".