57034824417280 has 272 divisors, whose sum is σ = 137928789908064. Its totient is φ = 22640181903360.

The previous prime is 57034824417271. The next prime is 57034824417281. The reversal of 57034824417280 is 8271442843075.

It is not an unprimeable number, because it can be changed into a prime (57034824417281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34214051007 + ... + 34214052673.

Almost surely, 2^{57034824417280} 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 57034824417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68964394954032).

57034824417280 is an abundant number, since it is smaller than the sum of its proper divisors (80893965490784).

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

57034824417280 is an equidigital number, since it uses as much as digits as its factorization.

57034824417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 55.

The spelling of 57034824417280 in words is "fifty-seven trillion, thirty-four billion, eight hundred twenty-four million, four hundred seventeen thousand, two hundred eighty".