83672588544 has 144 divisors (see below), whose sum is σ = 229886129088. Its totient is φ = 26997497856.

The previous prime is 83672588471. The next prime is 83672588551. The reversal of 83672588544 is 44588527638.

It is a super-2 number, since 2×83672588544² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5590479 + ... + 5605425.

It is an arithmetic number, because the mean of its divisors is an integer number (1596431452).

Almost surely, 2^83672588544 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 83672588544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114943064544).

83672588544 is an abundant number, since it is smaller than the sum of its proper divisors (146213540544).

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

83672588544 is a wasteful number, since it uses less digits than its factorization.

83672588544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200 (or 15186 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 83672588544 in words is "eighty-three billion, six hundred seventy-two million, five hundred eighty-eight thousand, five hundred forty-four".