890253213696 has 1008 divisors, whose sum is σ = 3355749165888. Its totient is φ = 231234600960.

The previous prime is 890253213653. The next prime is 890253213713. The reversal of 890253213696 is 696312352098.

890253213696 is a `hidden beast` number, since 8 + 9 + 0 + 2 + 532 + 13 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80932110331 + ... + 80932110341.

It is an arithmetic number, because the mean of its divisors is an integer number (3329116236).

Almost surely, 2^890253213696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890253213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677874582944).

890253213696 is an abundant number, since it is smaller than the sum of its proper divisors (2465495952192).

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

890253213696 is an frugal number, since it uses more digits than its factorization.

890253213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 890253213696 in words is "eight hundred ninety billion, two hundred fifty-three million, two hundred thirteen thousand, six hundred ninety-six".