57625311744 has 1080 divisors, whose sum is σ = 232001374176. Its totient is φ = 13370572800.

The previous prime is 57625311721. The next prime is 57625311787. The reversal of 57625311744 is 44711352675.

57625311744 is a `hidden beast` number, since 5 + 7 + 62 + 531 + 17 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57625311744.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1858881009 + ... + 1858881039.

Almost surely, 2^57625311744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57625311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000687088).

57625311744 is an abundant number, since it is smaller than the sum of its proper divisors (174376062432).

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

57625311744 is a wasteful number, since it uses less digits than its factorization.

57625311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 57625311744 in words is "fifty-seven billion, six hundred twenty-five million, three hundred eleven thousand, seven hundred forty-four".