890572942560 has 768 divisors, whose sum is σ = 3617865990144. Its totient is φ = 179344146432.

The previous prime is 890572942517. The next prime is 890572942561. The reversal of 890572942560 is 65249275098.

It is a self number, because there is not a number n which added to its sum of digits gives 890572942560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890572942561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61739509 + ... + 61753931.

It is an arithmetic number, because the mean of its divisors is an integer number (4710763008).

Almost surely, 2^890572942560 is an apocalyptic number.

890572942560 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 890572942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808932995072).

890572942560 is an abundant number, since it is smaller than the sum of its proper divisors (2727293047584).

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

890572942560 is a wasteful number, since it uses less digits than its factorization.

890572942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 890572942560 in words is "eight hundred ninety billion, five hundred seventy-two million, nine hundred forty-two thousand, five hundred sixty".