89097913440 has 672 divisors, whose sum is σ = 334277943552. Its totient is φ = 22394880000.

The previous prime is 89097913433. The next prime is 89097913451. The reversal of 89097913440 is 4431979098.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148249140 + ... + 148249740.

It is an arithmetic number, because the mean of its divisors is an integer number (497437416).

Almost surely, 2^89097913440 is an apocalyptic number.

89097913440 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 89097913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167138971776).

89097913440 is an abundant number, since it is smaller than the sum of its proper divisors (245180030112).

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

89097913440 is a wasteful number, since it uses less digits than its factorization.

89097913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 89097913440 in words is "eighty-nine billion, ninety-seven million, nine hundred thirteen thousand, four hundred forty".