89792426880 has 768 divisors, whose sum is σ = 361525731840. Its totient is φ = 21130813440.

The previous prime is 89792426879. The next prime is 89792426881. The reversal of 89792426880 is 8862429798.

It is an interprime number because it is at equal distance from previous prime (89792426879) and next prime (89792426881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89792426881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46499515 + ... + 46501445.

It is an arithmetic number, because the mean of its divisors is an integer number (470736630).

Almost surely, 2^89792426880 is an apocalyptic number.

89792426880 is a gapful number since it is divisible by the number (80) 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 89792426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180762865920).

89792426880 is an abundant number, since it is smaller than the sum of its proper divisors (271733304960).

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

89792426880 is a wasteful number, since it uses less digits than its factorization.

89792426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 89792426880 in words is "eighty-nine billion, seven hundred ninety-two million, four hundred twenty-six thousand, eight hundred eighty".