57130302240 has 768 divisors, whose sum is σ = 226855157760. Its totient is φ = 13307535360.

The previous prime is 57130302239. The next prime is 57130302241. The reversal of 57130302240 is 4220303175.

57130302240 is a `hidden beast` number, since 571 + 3 + 0 + 30 + 22 + 40 = 666.

57130302240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57130302239) and next prime (57130302241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57130302241) 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, 149165089 + ... + 149165471.

It is an arithmetic number, because the mean of its divisors is an integer number (295384320).

Almost surely, 2^57130302240 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 57130302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113427578880).

57130302240 is an abundant number, since it is smaller than the sum of its proper divisors (169724855520).

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

57130302240 is a wasteful number, since it uses less digits than its factorization.

57130302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 57130302240 in words is "fifty-seven billion, one hundred thirty million, three hundred two thousand, two hundred forty".