83008998558720 has 528 divisors, whose sum is σ = 327969509081760. Its totient is φ = 19231041650688.

The previous prime is 83008998558709. The next prime is 83008998558727. The reversal of 83008998558720 is 2785589980038.

83008998558720 is a `hidden beast` number, since 8 + 30 + 0 + 8 + 9 + 9 + 8 + 5 + 587 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83008998558727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6108091 + ... + 14259269.

Almost surely, 2^{83008998558720} is an apocalyptic number.

83008998558720 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 83008998558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163984754540880).

83008998558720 is an abundant number, since it is smaller than the sum of its proper divisors (244960510523040).

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

83008998558720 is a wasteful number, since it uses less digits than its factorization.

83008998558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151240 (or 8151219 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 83008998558720 in words is "eighty-three trillion, eight billion, nine hundred ninety-eight million, five hundred fifty-eight thousand, seven hundred twenty".