5657391075072 has 576 divisors, whose sum is σ = 17051313033216. Its totient is φ = 1650413076480.

The previous prime is 5657391075053. The next prime is 5657391075073. The reversal of 5657391075072 is 2705701937565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657391075073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11616819213 + ... + 11616819699.

It is an arithmetic number, because the mean of its divisors is an integer number (29602974016).

Almost surely, 2^{5657391075072} 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 5657391075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525656516608).

5657391075072 is an abundant number, since it is smaller than the sum of its proper divisors (11393921958144).

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

5657391075072 is a wasteful number, since it uses less digits than its factorization.

5657391075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 57.

The spelling of 5657391075072 in words is "five trillion, six hundred fifty-seven billion, three hundred ninety-one million, seventy-five thousand, seventy-two".