57840513672240 has 640 divisors, whose sum is σ = 218307277440000. Its totient is φ = 13988839366656.

The previous prime is 57840513672211. The next prime is 57840513672301. The reversal of 57840513672240 is 4227631504875.

57840513672240 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 0 + 51 + 367 + 224 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3477446964 + ... + 3477463596.

It is an arithmetic number, because the mean of its divisors is an integer number (341105121000).

Almost surely, 2^{57840513672240} 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 57840513672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109153638720000).

57840513672240 is an abundant number, since it is smaller than the sum of its proper divisors (160466763767760).

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

57840513672240 is a wasteful number, since it uses less digits than its factorization.

57840513672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18826 (or 18814 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 57840513672240 in words is "fifty-seven trillion, eight hundred forty billion, five hundred thirteen million, six hundred seventy-two thousand, two hundred forty".