89886720000 has 1280 divisors, whose sum is σ = 393084172800. Its totient is φ = 17694720000.

The previous prime is 89886719999. The next prime is 89886720043. The reversal of 89886720000 is 2768898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4730879991 + ... + 4730880009.

It is an arithmetic number, because the mean of its divisors is an integer number (307097010).

Almost surely, 2^89886720000 is an apocalyptic number.

89886720000 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 89886720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196542086400).

89886720000 is an abundant number, since it is smaller than the sum of its proper divisors (303197452800).

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

89886720000 is an equidigital number, since it uses as much as digits as its factorization.

89886720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 89886720000 in words is "eighty-nine billion, eight hundred eighty-six million, seven hundred twenty thousand".