890800125003360 has 4608 divisors, whose sum is σ = 3901548184934400. Its totient is φ = 183397942886400.

The previous prime is 890800125003343. The next prime is 890800125003361. The reversal of 890800125003360 is 63300521008098.

It is a happy number.

890800125003360 is a `hidden beast` number, since 8 + 9 + 0 + 80 + 0 + 1 + 2 + 500 + 3 + 3 + 60 = 666.

It is a super-2 number, since 2×890800125003360² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890800125003361) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3147703621779 + ... + 3147703622061.

It is an arithmetic number, because the mean of its divisors is an integer number (846690144300).

Almost surely, 2^{890800125003360} is an apocalyptic number.

890800125003360 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 890800125003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950774092467200).

890800125003360 is an abundant number, since it is smaller than the sum of its proper divisors (3010748059931040).

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

890800125003360 is a wasteful number, since it uses less digits than its factorization.

890800125003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 890800125003360 in words is "eight hundred ninety trillion, eight hundred billion, one hundred twenty-five million, three thousand, three hundred sixty".