2053218585600 has 3168 divisors, whose sum is σ = 9750893998080. Its totient is φ = 419232153600.

The previous prime is 2053218585563. The next prime is 2053218585611. The reversal of 2053218585600 is 65858123502.

2053218585600 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 2 + 1 + 8 + 585 + 60 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 66232857585 + ... + 66232857615.

Almost surely, 2^{2053218585600} is an apocalyptic number.

2053218585600 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 2053218585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875446999040).

2053218585600 is an abundant number, since it is smaller than the sum of its proper divisors (7697675412480).

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

2053218585600 is an equidigital number, since it uses as much as digits as its factorization.

2053218585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2053218585600 in words is "two trillion, fifty-three billion, two hundred eighteen million, five hundred eighty-five thousand, six hundred".