890850105600 has 1296 divisors, whose sum is σ = 3713454823680. Its totient is φ = 187523481600.

The previous prime is 890850105599. The next prime is 890850105643. The reversal of 890850105600 is 6501058098.

890850105600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×890850105600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2066937385 + ... + 2066937815.

It is an arithmetic number, because the mean of its divisors is an integer number (2865320080).

Almost surely, 2^890850105600 is an apocalyptic number.

890850105600 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 890850105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856727411840).

890850105600 is an abundant number, since it is smaller than the sum of its proper divisors (2822604718080).

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

890850105600 is a wasteful number, since it uses less digits than its factorization.

890850105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 890850105600 in words is "eight hundred ninety billion, eight hundred fifty million, one hundred five thousand, six hundred".