5457253742784 has 224 divisors, whose sum is σ = 16500146100480. Its totient is φ = 1767640320000.

The previous prime is 5457253742737. The next prime is 5457253742797. The reversal of 5457253742784 is 4872473527545.

5457253742784 is a `hidden beast` number, since 5 + 4 + 5 + 72 + 537 + 4 + 27 + 8 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17629407 + ... + 17936289.

It is an arithmetic number, because the mean of its divisors is an integer number (73661366520).

Almost surely, 2^{5457253742784} is an apocalyptic number.

5457253742784 is a gapful number since it is divisible by the number (54) 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 5457253742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250073050240).

5457253742784 is an abundant number, since it is smaller than the sum of its proper divisors (11042892357696).

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

5457253742784 is a wasteful number, since it uses less digits than its factorization.

5457253742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307196 (or 307180 counting only the distinct ones).

The product of its digits is 263424000, while the sum is 63.

The spelling of 5457253742784 in words is "five trillion, four hundred fifty-seven billion, two hundred fifty-three million, seven hundred forty-two thousand, seven hundred eighty-four".