83990904990720 has 2816 divisors, whose sum is σ = 355465871953920. Its totient is φ = 16434855936000.

The previous prime is 83990904990709. The next prime is 83990904990749. The reversal of 83990904990720 is 2709940909938.

It is a super-2 number, since 2×83990904990720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 464038149030 + ... + 464038149210.

Almost surely, 2^{83990904990720} is an apocalyptic number.

83990904990720 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 83990904990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177732935976960).

83990904990720 is an abundant number, since it is smaller than the sum of its proper divisors (271474966963200).

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

83990904990720 is a wasteful number, since it uses less digits than its factorization.

83990904990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 69.

The spelling of 83990904990720 in words is "eighty-three trillion, nine hundred ninety billion, nine hundred four million, nine hundred ninety thousand, seven hundred twenty".