89960896480 has 384 divisors, whose sum is σ = 280921374720. Its totient is φ = 26413793280.

The previous prime is 89960896471. The next prime is 89960896481. The reversal of 89960896480 is 8469806998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89960896481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17571361 + ... + 17576479.

It is an arithmetic number, because the mean of its divisors is an integer number (731566080).

Almost surely, 2^89960896480 is an apocalyptic number.

89960896480 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 89960896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140460687360).

89960896480 is an abundant number, since it is smaller than the sum of its proper divisors (190960478240).

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

89960896480 is a wasteful number, since it uses less digits than its factorization.

89960896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 67.

The spelling of 89960896480 in words is "eighty-nine billion, nine hundred sixty million, eight hundred ninety-six thousand, four hundred eighty".