2053883795040 has 864 divisors, whose sum is σ = 8859414590208. Its totient is φ = 424121702400.

The previous prime is 2053883795021. The next prime is 2053883795063. The reversal of 2053883795040 is 405973883502.

2053883795040 is a `hidden beast` number, since 2 + 0 + 53 + 8 + 83 + 7 + 9 + 504 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 198802675 + ... + 198813005.

It is an arithmetic number, because the mean of its divisors is an integer number (10253952072).

Almost surely, 2^{2053883795040} is an apocalyptic number.

2053883795040 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 2053883795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429707295104).

2053883795040 is an abundant number, since it is smaller than the sum of its proper divisors (6805530795168).

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

2053883795040 is a wasteful number, since it uses less digits than its factorization.

2053883795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2053883795040 in words is "two trillion, fifty-three billion, eight hundred eighty-three million, seven hundred ninety-five thousand, forty".