2053653575064 has 256 divisors, whose sum is σ = 6354173952000. Its totient is φ = 538611171840.

The previous prime is 2053653575023. The next prime is 2053653575069. The reversal of 2053653575064 is 4605753563502.

It is a junction number, because it is equal to n+sod(n) for n = 2053653574998 and 2053653575016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053653575069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297153769 + ... + 297160679.

It is an arithmetic number, because the mean of its divisors is an integer number (24820992000).

Almost surely, 2^{2053653575064} is an apocalyptic number.

2053653575064 is a gapful number since it is divisible by the number (24) 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 2053653575064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177086976000).

2053653575064 is an abundant number, since it is smaller than the sum of its proper divisors (4300520376936).

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

2053653575064 is a wasteful number, since it uses less digits than its factorization.

2053653575064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 51.

The spelling of 2053653575064 in words is "two trillion, fifty-three billion, six hundred fifty-three million, five hundred seventy-five thousand, sixty-four".