57534354540 has 768 divisors, whose sum is σ = 209461593600. Its totient is φ = 13005619200.

The previous prime is 57534354533. The next prime is 57534354587. The reversal of 57534354540 is 4545343575.

57534354540 is a `hidden beast` number, since 5 + 7 + 53 + 4 + 3 + 54 + 540 = 666.

It is a super-2 number, since 2×57534354540² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 509153524 + ... + 509153636.

It is an arithmetic number, because the mean of its divisors is an integer number (272736450).

Almost surely, 2^57534354540 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 57534354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104730796800).

57534354540 is an abundant number, since it is smaller than the sum of its proper divisors (151927239060).

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

57534354540 is a wasteful number, since it uses less digits than its factorization.

57534354540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 45.

The spelling of 57534354540 in words is "fifty-seven billion, five hundred thirty-four million, three hundred fifty-four thousand, five hundred forty".