57006703560240 has 640 divisors, whose sum is σ = 236258711808000. Its totient is φ = 12342194601984.

The previous prime is 57006703560229. The next prime is 57006703560253. The reversal of 57006703560240 is 4206530760075.

57006703560240 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 6 + 7 + 0 + 35 + 602 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2151426672 + ... + 2151453168.

It is an arithmetic number, because the mean of its divisors is an integer number (369154237200).

Almost surely, 2^{57006703560240} 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 57006703560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118129355904000).

57006703560240 is an abundant number, since it is smaller than the sum of its proper divisors (179252008247760).

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

57006703560240 is a wasteful number, since it uses less digits than its factorization.

57006703560240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34034 (or 34022 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 57006703560240 in words is "fifty-seven trillion, six billion, seven hundred three million, five hundred sixty thousand, two hundred forty".