2053371430656 has 1152 divisors, whose sum is σ = 7758131834880. Its totient is φ = 527802531840.

The previous prime is 2053371430619. The next prime is 2053371430657. The reversal of 2053371430656 is 6560341733502.

It is a happy number.

2053371430656 is a `hidden beast` number, since 2 + 0 + 5 + 337 + 1 + 4 + 306 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053371430657) 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 127 ways as a sum of consecutive naturals, for example, 2088881941 + ... + 2088882923.

It is an arithmetic number, because the mean of its divisors is an integer number (6734489440).

Almost surely, 2^{2053371430656} is an apocalyptic number.

2053371430656 is a gapful number since it is divisible by the number (26) 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 2053371430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879065917440).

2053371430656 is an abundant number, since it is smaller than the sum of its proper divisors (5704760404224).

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

2053371430656 is an frugal number, since it uses more digits than its factorization.

2053371430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 2053371430656 in words is "two trillion, fifty-three billion, three hundred seventy-one million, four hundred thirty thousand, six hundred fifty-six".