890442279090 has 1280 divisors, whose sum is σ = 3225461299200. Its totient is φ = 173216558592.

The previous prime is 890442279073. The next prime is 890442279101. The reversal of 890442279090 is 90972244098.

890442279090 is a `hidden beast` number, since 8 + 9 + 0 + 442 + 27 + 90 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 10728220189 + ... + 10728220271.

It is an arithmetic number, because the mean of its divisors is an integer number (2519891640).

Almost surely, 2^890442279090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890442279090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612730649600).

890442279090 is an abundant number, since it is smaller than the sum of its proper divisors (2335019020110).

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

890442279090 is a wasteful number, since it uses less digits than its factorization.

890442279090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 890442279090 in words is "eight hundred ninety billion, four hundred forty-two million, two hundred seventy-nine thousand, ninety".