57249624003840 has 432 divisors, whose sum is σ = 204522736803840. Its totient is φ = 14770093916160.

The previous prime is 57249624003833. The next prime is 57249624003931. The reversal of 57249624003840 is 4830042694275.

It is a happy number.

57249624003840 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 9 + 624 + 0 + 0 + 3 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×57249624003840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454530081 + ... + 1454569439.

It is an arithmetic number, because the mean of its divisors is an integer number (473432261120).

Almost surely, 2^{57249624003840} 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 57249624003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102261368401920).

57249624003840 is an abundant number, since it is smaller than the sum of its proper divisors (147273112800000).

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

57249624003840 is a wasteful number, since it uses less digits than its factorization.

57249624003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43490 (or 43473 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 57249624003840 in words is "fifty-seven trillion, two hundred forty-nine billion, six hundred twenty-four million, three thousand, eight hundred forty".