89782460040 has 384 divisors, whose sum is σ = 339643549440. Its totient is φ = 18584137728.

The previous prime is 89782460017. The next prime is 89782460063. The reversal of 89782460040 is 4006428798.

It is an interprime number because it is at equal distance from previous prime (89782460017) and next prime (89782460063).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7517914 + ... + 7529846.

It is an arithmetic number, because the mean of its divisors is an integer number (884488410).

Almost surely, 2^89782460040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89782460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169821774720).

89782460040 is an abundant number, since it is smaller than the sum of its proper divisors (249861089400).

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

89782460040 is a wasteful number, since it uses less digits than its factorization.

89782460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12033 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 89782460040 in words is "eighty-nine billion, seven hundred eighty-two million, four hundred sixty thousand, forty".