57453406560 has 144 divisors (see below), whose sum is σ = 213883422480. Its totient is φ = 13928094720.

The previous prime is 57453406541. The next prime is 57453406561. The reversal of 57453406560 is 6560435475.

57453406560 is a `hidden beast` number, since 5 + 7 + 45 + 3 + 40 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57453406561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797715 + ... + 1829394.

It is an arithmetic number, because the mean of its divisors is an integer number (1485301545).

Almost surely, 2^57453406560 is an apocalyptic number.

It is an amenable number.

57453406560 is an abundant number, since it is smaller than the sum of its proper divisors (156430015920).

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

57453406560 is a wasteful number, since it uses less digits than its factorization.

57453406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627141 (or 3627130 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 57453406560 in words is "fifty-seven billion, four hundred fifty-three million, four hundred six thousand, five hundred sixty".