57288332640 has 768 divisors, whose sum is σ = 241678080000. Its totient is φ = 11041505280.

The previous prime is 57288332639. The next prime is 57288332653. The reversal of 57288332640 is 4623388275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57288332640.

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 127 ways as a sum of consecutive naturals, for example, 45866736 + ... + 45867984.

It is an arithmetic number, because the mean of its divisors is an integer number (314685000).

Almost surely, 2^57288332640 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 57288332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040000).

57288332640 is an abundant number, since it is smaller than the sum of its proper divisors (184389747360).

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

57288332640 is a wasteful number, since it uses less digits than its factorization.

57288332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 57288332640 in words is "fifty-seven billion, two hundred eighty-eight million, three hundred thirty-two thousand, six hundred forty".