57415645335540 has 192 divisors, whose sum is σ = 163375374919680. Its totient is φ = 15064258552320.

The previous prime is 57415645335467. The next prime is 57415645335541. The reversal of 57415645335540 is 4553354651475.

57415645335540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57415645335541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078424241 + ... + 1078477479.

It is an arithmetic number, because the mean of its divisors is an integer number (850913411040).

Almost surely, 2^{57415645335540} 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 57415645335540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81687687459840).

57415645335540 is an abundant number, since it is smaller than the sum of its proper divisors (105959729584140).

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

57415645335540 is a wasteful number, since it uses less digits than its factorization.

57415645335540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54502 (or 54500 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 57.

The spelling of 57415645335540 in words is "fifty-seven trillion, four hundred fifteen billion, six hundred forty-five million, three hundred thirty-five thousand, five hundred forty".