2053688644800 has 2352 divisors, whose sum is σ = 8952736488192. Its totient is φ = 458647142400.

The previous prime is 2053688644747. The next prime is 2053688644823. The reversal of 2053688644800 is 84468863502.

2053688644800 is a `hidden beast` number, since 2 + 0 + 536 + 8 + 8 + 64 + 48 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7991006272 + ... + 7991006528.

Almost surely, 2^{2053688644800} is an apocalyptic number.

2053688644800 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 2053688644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476368244096).

2053688644800 is an abundant number, since it is smaller than the sum of its proper divisors (6899047843392).

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

2053688644800 is a wasteful number, since it uses less digits than its factorization.

2053688644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2053688644800 in words is "two trillion, fifty-three billion, six hundred eighty-eight million, six hundred forty-four thousand, eight hundred".