57745424016 has 320 divisors, whose sum is σ = 205471848960. Its totient is φ = 15148892160.

The previous prime is 57745423943. The next prime is 57745424027. The reversal of 57745424016 is 61042454775.

57745424016 is a `hidden beast` number, since 57 + 7 + 4 + 542 + 40 + 16 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2094030 + ... + 2121426.

It is an arithmetic number, because the mean of its divisors is an integer number (642099528).

Almost surely, 2^57745424016 is an apocalyptic number.

57745424016 is a gapful number since it is divisible by the number (56) 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 57745424016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735924480).

57745424016 is an abundant number, since it is smaller than the sum of its proper divisors (147726424944).

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

57745424016 is a wasteful number, since it uses less digits than its factorization.

57745424016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27479 (or 27467 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 57745424016 in words is "fifty-seven billion, seven hundred forty-five million, four hundred twenty-four thousand, sixteen".