89936001792 has 648 divisors, whose sum is σ = 327481618464. Its totient is φ = 23527784448.

The previous prime is 89936001769. The next prime is 89936001803. The reversal of 89936001792 is 29710063998.

It is a super-2 number, since 2×89936001792² (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 71 ways as a sum of consecutive naturals, for example, 341961853 + ... + 341962115.

It is an arithmetic number, because the mean of its divisors is an integer number (505372868).

Almost surely, 2^89936001792 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 89936001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163740809232).

89936001792 is an abundant number, since it is smaller than the sum of its proper divisors (237545616672).

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

89936001792 is a wasteful number, since it uses less digits than its factorization.

89936001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 89936001792 in words is "eighty-nine billion, nine hundred thirty-six million, one thousand, seven hundred ninety-two".