57111273156240 has 640 divisors, whose sum is σ = 207612311961600. Its totient is φ = 14401579991040.

The previous prime is 57111273156209. The next prime is 57111273156247. The reversal of 57111273156240 is 4265137211175.

57111273156240 is a `hidden beast` number, since 5 + 7 + 1 + 1 + 1 + 2 + 7 + 3 + 15 + 624 + 0 = 666.

It is a super-2 number, since 2×57111273156240² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57111273156247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4775583381 + ... + 4775595339.

It is an arithmetic number, because the mean of its divisors is an integer number (324394237440).

Almost surely, 2^{57111273156240} 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 57111273156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103806155980800).

57111273156240 is an abundant number, since it is smaller than the sum of its proper divisors (150501038805360).

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

57111273156240 is a wasteful number, since it uses less digits than its factorization.

57111273156240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13092 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 57111273156240 in words is "fifty-seven trillion, one hundred eleven billion, two hundred seventy-three million, one hundred fifty-six thousand, two hundred forty".