89315965440 has 800 divisors, whose sum is σ = 364961797200. Its totient is φ = 20681588736.

The previous prime is 89315965373. The next prime is 89315965441. The reversal of 89315965440 is 4456951398.

89315965440 is a `hidden beast` number, since 8 + 9 + 3 + 1 + 5 + 96 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48731445504 + 40584519936 = 220752^2 + 201456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89315965441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45825586 + ... + 45827534.

Almost surely, 2^89315965440 is an apocalyptic number.

89315965440 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 89315965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182480898600).

89315965440 is an abundant number, since it is smaller than the sum of its proper divisors (275645831760).

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

89315965440 is a wasteful number, since it uses less digits than its factorization.

89315965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 89315965440 in words is "eighty-nine billion, three hundred fifteen million, nine hundred sixty-five thousand, four hundred forty".