83577600840 has 128 divisors (see below), whose sum is σ = 258947481600. Its totient is φ = 21557871360.

The previous prime is 83577600839. The next prime is 83577600853. The reversal of 83577600840 is 4800677538.

It is a super-3 number, since 3×83577600840³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83577600840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10110549 + ... + 10118811.

It is an arithmetic number, because the mean of its divisors is an integer number (2023027200).

Almost surely, 2^83577600840 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 83577600840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129473740800).

83577600840 is an abundant number, since it is smaller than the sum of its proper divisors (175369880760).

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

83577600840 is a wasteful number, since it uses less digits than its factorization.

83577600840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 83577600840 in words is "eighty-three billion, five hundred seventy-seven million, six hundred thousand, eight hundred forty".