2053033417600 has 384 divisors, whose sum is σ = 5959408752000. Its totient is φ = 690807398400.

The previous prime is 2053033417573. The next prime is 2053033417607. The reversal of 2053033417600 is 67143303502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053033417607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28722706 + ... + 28794094.

It is an arithmetic number, because the mean of its divisors is an integer number (15519293625).

Almost surely, 2^{2053033417600} is an apocalyptic number.

2053033417600 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 2053033417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979704376000).

2053033417600 is an abundant number, since it is smaller than the sum of its proper divisors (3906375334400).

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

2053033417600 is a wasteful number, since it uses less digits than its factorization.

2053033417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71486 (or 71469 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 2053033417600 in words is "two trillion, fifty-three billion, thirty-three million, four hundred seventeen thousand, six hundred".