2859220425600 has 3456 divisors, whose sum is σ = 14235356378880. Its totient is φ = 548624793600.

The previous prime is 2859220425587. The next prime is 2859220425637. The reversal of 2859220425600 is 65240229582.

It is a happy number.

2859220425600 is a `hidden beast` number, since 2 + 8 + 592 + 2 + 0 + 4 + 2 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 53947555174 + ... + 53947555226.

It is an arithmetic number, because the mean of its divisors is an integer number (4119026730).

Almost surely, 2^{2859220425600} is an apocalyptic number.

2859220425600 is a gapful number since it is divisible by the number (20) 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 2859220425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117678189440).

2859220425600 is an abundant number, since it is smaller than the sum of its proper divisors (11376135953280).

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

2859220425600 is a wasteful number, since it uses less digits than its factorization.

2859220425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2859220425600 in words is "two trillion, eight hundred fifty-nine billion, two hundred twenty million, four hundred twenty-five thousand, six hundred".