83587680583680 has 1920 divisors, whose sum is σ = 340332217344000. Its totient is φ = 17404639838208.

The previous prime is 83587680583669. The next prime is 83587680583727. The reversal of 83587680583680 is 8638508678538.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90955038261 + ... + 90955039179.

It is an arithmetic number, because the mean of its divisors is an integer number (177256363200).

Almost surely, 2^{83587680583680} is an apocalyptic number.

83587680583680 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 83587680583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170166108672000).

83587680583680 is an abundant number, since it is smaller than the sum of its proper divisors (256744536760320).

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

83587680583680 is an equidigital number, since it uses as much as digits as its factorization.

83587680583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 75.

The spelling of 83587680583680 in words is "eighty-three trillion, five hundred eighty-seven billion, six hundred eighty million, five hundred eighty-three thousand, six hundred eighty".