57957291646464 has 480 divisors, whose sum is σ = 190335528773280. Its totient is φ = 15572050378752.

The previous prime is 57957291646459. The next prime is 57957291646469. The reversal of 57957291646464 is 46464619275975.

It is an interprime number because it is at equal distance from previous prime (57957291646459) and next prime (57957291646469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57957291646469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572472324 + ... + 1572509180.

It is an arithmetic number, because the mean of its divisors is an integer number (396532351611).

Almost surely, 2^{57957291646464} 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 57957291646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95167764386640).

57957291646464 is an abundant number, since it is smaller than the sum of its proper divisors (132378237126816).

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

57957291646464 is a wasteful number, since it uses less digits than its factorization.

57957291646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38138 (or 38115 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 75.

The spelling of 57957291646464 in words is "fifty-seven trillion, nine hundred fifty-seven billion, two hundred ninety-one million, six hundred forty-six thousand, four hundred sixty-four".