57349545480 has 288 divisors, whose sum is σ = 197950858560. Its totient is φ = 14932874880.

The previous prime is 57349545443. The next prime is 57349545481. The reversal of 57349545480 is 8454594375.

It is a happy number.

57349545480 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 95 + 4 + 548 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57349545481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17970685 + ... + 17973875.

It is an arithmetic number, because the mean of its divisors is an integer number (687329370).

Almost surely, 2^57349545480 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 57349545480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98975429280).

57349545480 is an abundant number, since it is smaller than the sum of its proper divisors (140601313080).

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

57349545480 is a wasteful number, since it uses less digits than its factorization.

57349545480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 57349545480 in words is "fifty-seven billion, three hundred forty-nine million, five hundred forty-five thousand, four hundred eighty".