89985738240 has 960 divisors, whose sum is σ = 350041595904. Its totient is φ = 22072393728.

The previous prime is 89985738229. The next prime is 89985738259. The reversal of 89985738240 is 4283758998.

89985738240 is a `hidden beast` number, since 89 + 98 + 57 + 382 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708549057 + ... + 708549183.

Almost surely, 2^89985738240 is an apocalyptic number.

89985738240 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 89985738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175020797952).

89985738240 is an abundant number, since it is smaller than the sum of its proper divisors (260055857664).

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

89985738240 is a wasteful number, since it uses less digits than its factorization.

89985738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89985738240 in words is "eighty-nine billion, nine hundred eighty-five million, seven hundred thirty-eight thousand, two hundred forty".