890140272000 has 768 divisors, whose sum is σ = 3613424256000. Its totient is φ = 192742502400.

The previous prime is 890140271983. The next prime is 890140272001. The reversal of 890140272000 is 272041098.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890140272001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44678041 + ... + 44697959.

It is an arithmetic number, because the mean of its divisors is an integer number (4704979500).

Almost surely, 2^890140272000 is an apocalyptic number.

890140272000 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 890140272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806712128000).

890140272000 is an abundant number, since it is smaller than the sum of its proper divisors (2723283984000).

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

890140272000 is a wasteful number, since it uses less digits than its factorization.

890140272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19984 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 890140272000 in words is "eight hundred ninety billion, one hundred forty million, two hundred seventy-two thousand".