89982832909536 has 1152 divisors, whose sum is σ = 333997692779520. Its totient is φ = 23057104896000.

The previous prime is 89982832909441. The next prime is 89982832909537. The reversal of 89982832909536 is 63590923828998.

89982832909536 is a `hidden beast` number, since 8 + 99 + 82 + 83 + 290 + 95 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89982832909537) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3081483736 + ... + 3081512936.

It is an arithmetic number, because the mean of its divisors is an integer number (289928552760).

Almost surely, 2^{89982832909536} is an apocalyptic number.

89982832909536 is a gapful number since it is divisible by the number (86) 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 89982832909536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166998846389760).

89982832909536 is an abundant number, since it is smaller than the sum of its proper divisors (244014859869984).

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

89982832909536 is a wasteful number, since it uses less digits than its factorization.

89982832909536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29345 (or 29314 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 89982832909536 in words is "eighty-nine trillion, nine hundred eighty-two billion, eight hundred thirty-two million, nine hundred nine thousand, five hundred thirty-six".