57244340127744 has 2304 divisors, whose sum is σ = 222859413504000. Its totient is φ = 14195235225600.

The previous prime is 57244340127731. The next prime is 57244340127757. The reversal of 57244340127744 is 44772104344275.

57244340127744 is a `hidden beast` number, since 5 + 7 + 2 + 443 + 4 + 0 + 127 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57244340127731) and next prime (57244340127757).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129219729187 + ... + 129219729629.

It is an arithmetic number, because the mean of its divisors is an integer number (96727176000).

Almost surely, 2^{57244340127744} is an apocalyptic number.

57244340127744 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 57244340127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111429706752000).

57244340127744 is an abundant number, since it is smaller than the sum of its proper divisors (165615073376256).

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

57244340127744 is a wasteful number, since it uses less digits than its factorization.

57244340127744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 54.

The spelling of 57244340127744 in words is "fifty-seven trillion, two hundred forty-four billion, three hundred forty million, one hundred twenty-seven thousand, seven hundred forty-four".