890868615045120 has 2688 divisors, whose sum is σ = 3631677833871360. Its totient is φ = 208300332810240.

The previous prime is 890868615045109. The next prime is 890868615045127. The reversal of 890868615045120 is 21540516868098.

890868615045120 is a `hidden beast` number, since 8 + 9 + 0 + 8 + 6 + 8 + 6 + 150 + 451 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890868615045127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134837080857 + ... + 134837087463.

It is an arithmetic number, because the mean of its divisors is an integer number (1351070622720).

Almost surely, 2^{890868615045120} is an apocalyptic number.

890868615045120 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 890868615045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815838916935680).

890868615045120 is an abundant number, since it is smaller than the sum of its proper divisors (2740809218826240).

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

890868615045120 is a wasteful number, since it uses less digits than its factorization.

890868615045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 890868615045120 in words is "eight hundred ninety trillion, eight hundred sixty-eight billion, six hundred fifteen million, forty-five thousand, one hundred twenty".