890863816320 has 384 divisors, whose sum is σ = 3358116216000. Its totient is φ = 225059586048.

The previous prime is 890863816319. The next prime is 890863816343. The reversal of 890863816320 is 23618368098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2804136 + ... + 3105624.

Almost surely, 2^890863816320 is an apocalyptic number.

890863816320 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 890863816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679058108000).

890863816320 is an abundant number, since it is smaller than the sum of its proper divisors (2467252399680).

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

890863816320 is a wasteful number, since it uses less digits than its factorization.

890863816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301542 (or 301518 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 890863816320 in words is "eight hundred ninety billion, eight hundred sixty-three million, eight hundred sixteen thousand, three hundred twenty".