89517469440 has 288 divisors, whose sum is σ = 343937502720. Its totient is φ = 19384123392.

The previous prime is 89517469387. The next prime is 89517469463. The reversal of 89517469440 is 4496471598.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423082 + ... + 598358.

It is an arithmetic number, because the mean of its divisors is an integer number (1194227440).

Almost surely, 2^89517469440 is an apocalyptic number.

89517469440 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 89517469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968751360).

89517469440 is an abundant number, since it is smaller than the sum of its proper divisors (254420033280).

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

89517469440 is a wasteful number, since it uses less digits than its factorization.

89517469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175327 (or 175313 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 89517469440 in words is "eighty-nine billion, five hundred seventeen million, four hundred sixty-nine thousand, four hundred forty".