2053838705520 has 80 divisors (see below), whose sum is σ = 7276457134080. Its totient is φ = 469448846592.

The previous prime is 2053838705507. The next prime is 2053838705537. The reversal of 2053838705520 is 255078383502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2053838705520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611259840 + ... + 611263199.

It is an arithmetic number, because the mean of its divisors is an integer number (90955714176).

Almost surely, 2^{2053838705520} is an apocalyptic number.

2053838705520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053838705520 is an abundant number, since it is smaller than the sum of its proper divisors (5222618428560).

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

2053838705520 is a wasteful number, since it uses less digits than its factorization.

2053838705520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222523062 (or 1222523056 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 2053838705520 in words is "two trillion, fifty-three billion, eight hundred thirty-eight million, seven hundred five thousand, five hundred twenty".