89452137920992 has 192 divisors, whose sum is σ = 225675388141056. Its totient is φ = 33882952181760.

The previous prime is 89452137920983. The next prime is 89452137921143. The reversal of 89452137920992 is 29902973125498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116037363 + ... + 116805709.

It is an arithmetic number, because the mean of its divisors is an integer number (1175392646568).

Almost surely, 2^{89452137920992} 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 89452137920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112837694070528).

89452137920992 is an abundant number, since it is smaller than the sum of its proper divisors (136223250220064).

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

89452137920992 is a wasteful number, since it uses less digits than its factorization.

89452137920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769689 (or 769681 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 70.

The spelling of 89452137920992 in words is "eighty-nine trillion, four hundred fifty-two billion, one hundred thirty-seven million, nine hundred twenty thousand, nine hundred ninety-two".