2564853452160 has 192 divisors, whose sum is σ = 8684671104720. Its totient is φ = 643727785984.

The previous prime is 2564853452159. The next prime is 2564853452179. The reversal of 2564853452160 is 612543584652.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 23 ways as a sum of consecutive naturals, for example, 1756299 + ... + 2866058.

Almost surely, 2^{2564853452160} is an apocalyptic number.

2564853452160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564853452160 is an abundant number, since it is smaller than the sum of its proper divisors (6119817652560).

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

2564853452160 is a wasteful number, since it uses less digits than its factorization.

2564853452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622413 (or 4622384 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 2564853452160 in words is "two trillion, five hundred sixty-four billion, eight hundred fifty-three million, four hundred fifty-two thousand, one hundred sixty".