83384002560 has 384 divisors, whose sum is σ = 275404147200. Its totient is φ = 21524643840.

The previous prime is 83384002553. The next prime is 83384002609. The reversal of 83384002560 is 6520048338.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301025142 + ... + 301025418.

It is an arithmetic number, because the mean of its divisors is an integer number (717198300).

Almost surely, 2^83384002560 is an apocalyptic number.

83384002560 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 83384002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137702073600).

83384002560 is an abundant number, since it is smaller than the sum of its proper divisors (192020144640).

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

83384002560 is a wasteful number, since it uses less digits than its factorization.

83384002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 83384002560 in words is "eighty-three billion, three hundred eighty-four million, two thousand, five hundred sixty".