2053856802816 has 1728 divisors, whose sum is σ = 8200336435200. Its totient is φ = 480815087616.

The previous prime is 2053856802773. The next prime is 2053856802857. The reversal of 2053856802816 is 6182086583502.

2053856802816 is a `hidden beast` number, since 2 + 0 + 53 + 8 + 568 + 0 + 28 + 1 + 6 = 666.

It is a congruent number.

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, 9210120081 + ... + 9210120303.

Almost surely, 2^{2053856802816} is an apocalyptic number.

2053856802816 is a gapful number since it is divisible by the number (26) 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 2053856802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100168217600).

2053856802816 is an abundant number, since it is smaller than the sum of its proper divisors (6146479632384).

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

2053856802816 is a wasteful number, since it uses less digits than its factorization.

2053856802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2053856802816 in words is "two trillion, fifty-three billion, eight hundred fifty-six million, eight hundred two thousand, eight hundred sixteen".