57251694240 has 672 divisors, whose sum is σ = 231343103376. Its totient is φ = 13257768960.

The previous prime is 57251694211. The next prime is 57251694251. The reversal of 57251694240 is 4249615275.

57251694240 is a `hidden beast` number, since 5 + 7 + 2 + 516 + 94 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27054986256 + 30196707984 = 164484^2 + 173772^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25776330 + ... + 25778550.

Almost surely, 2^57251694240 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 57251694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115671551688).

57251694240 is an abundant number, since it is smaller than the sum of its proper divisors (174091409136).

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

57251694240 is a wasteful number, since it uses less digits than its factorization.

57251694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57251694240 in words is "fifty-seven billion, two hundred fifty-one million, six hundred ninety-four thousand, two hundred forty".