89961258240 has 864 divisors, whose sum is σ = 380187924480. Its totient is φ = 19171639296.

The previous prime is 89961258187. The next prime is 89961258241. The reversal of 89961258240 is 4285216998.

It is a happy number.

89961258240 is a `hidden beast` number, since 8 + 9 + 9 + 6 + 12 + 582 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89961258241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187810321 + ... + 187810799.

It is an arithmetic number, because the mean of its divisors is an integer number (440032320).

Almost surely, 2^89961258240 is an apocalyptic number.

89961258240 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 89961258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190093962240).

89961258240 is an abundant number, since it is smaller than the sum of its proper divisors (290226666240).

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

89961258240 is a wasteful number, since it uses less digits than its factorization.

89961258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 89961258240 in words is "eighty-nine billion, nine hundred sixty-one million, two hundred fifty-eight thousand, two hundred forty".