57013347744 has 384 divisors, whose sum is σ = 176017121280. Its totient is φ = 17934400512.

The previous prime is 57013347733. The next prime is 57013347749. The reversal of 57013347744 is 44774331075.

It is a happy number.

57013347744 is a `hidden beast` number, since 5 + 7 + 0 + 133 + 477 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57013347744.

It is not an unprimeable number, because it can be changed into a prime (57013347749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179852674 + ... + 179852990.

It is an arithmetic number, because the mean of its divisors is an integer number (458377920).

Almost surely, 2^57013347744 is an apocalyptic number.

57013347744 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 57013347744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88008560640).

57013347744 is an abundant number, since it is smaller than the sum of its proper divisors (119003773536).

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

57013347744 is a wasteful number, since it uses less digits than its factorization.

57013347744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 57013347744 in words is "fifty-seven billion, thirteen million, three hundred forty-seven thousand, seven hundred forty-four".