83140921584 has 320 divisors, whose sum is σ = 276269460480. Its totient is φ = 23448821760.

The previous prime is 83140921579. The next prime is 83140921607. The reversal of 83140921584 is 48512904138.

83140921584 is a `hidden beast` number, since 8 + 3 + 1 + 40 + 9 + 21 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159579244 + ... + 159579764.

It is an arithmetic number, because the mean of its divisors is an integer number (863342064).

Almost surely, 2^83140921584 is an apocalyptic number.

83140921584 is a gapful number since it is divisible by the number (84) 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 83140921584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138134730240).

83140921584 is an abundant number, since it is smaller than the sum of its proper divisors (193128538896).

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

83140921584 is a wasteful number, since it uses less digits than its factorization.

83140921584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 83140921584 in words is "eighty-three billion, one hundred forty million, nine hundred twenty-one thousand, five hundred eighty-four".