2059256908800 has 1980 divisors, whose sum is σ = 9558558369360. Its totient is φ = 434201886720.

The previous prime is 2059256908769. The next prime is 2059256908861. The reversal of 2059256908800 is 88096529502.

2059256908800 is a `hidden beast` number, since 20 + 59 + 2 + 569 + 0 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320882421 + ... + 1320883979.

It is an arithmetic number, because the mean of its divisors is an integer number (4827554732).

Almost surely, 2^{2059256908800} is an apocalyptic number.

2059256908800 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 2059256908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779279184680).

2059256908800 is an abundant number, since it is smaller than the sum of its proper divisors (7499301460560).

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

2059256908800 is a wasteful number, since it uses less digits than its factorization.

2059256908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2059256908800 in words is "two trillion, fifty-nine billion, two hundred fifty-six million, nine hundred eight thousand, eight hundred".