890780986368 has 1584 divisors, whose sum is σ = 3465503268864. Its totient is φ = 222515527680.

The previous prime is 890780986301. The next prime is 890780986397. The reversal of 890780986368 is 863689087098.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 890780986296 and 890780986305.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 18952786921 + ... + 18952786967.

Almost surely, 2^890780986368 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 890780986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732751634432).

890780986368 is an abundant number, since it is smaller than the sum of its proper divisors (2574722282496).

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

890780986368 is an equidigital number, since it uses as much as digits as its factorization.

890780986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 890780986368 in words is "eight hundred ninety billion, seven hundred eighty million, nine hundred eighty-six thousand, three hundred sixty-eight".