890256640000 has 480 divisors, whose sum is σ = 2738064288960. Its totient is φ = 281714688000.

The previous prime is 890256639991. The next prime is 890256640003. The reversal of 890256640000 is 46652098.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (890256640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116476179 + ... + 116483821.

It is an arithmetic number, because the mean of its divisors is an integer number (5704300602).

Almost surely, 2^890256640000 is an apocalyptic number.

890256640000 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 890256640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369032144480).

890256640000 is an abundant number, since it is smaller than the sum of its proper divisors (1847807648960).

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

890256640000 is an equidigital number, since it uses as much as digits as its factorization.

890256640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 890256640000 in words is "eight hundred ninety billion, two hundred fifty-six million, six hundred forty thousand".