57354172720 has 80 divisors (see below), whose sum is σ = 144466378560. Its totient is φ = 21050053632.

The previous prime is 57354172703. The next prime is 57354172721. The reversal of 57354172720 is 2727145375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57354172720² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57354172721) 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 15 ways as a sum of consecutive naturals, for example, 8566 + ... + 338794.

It is an arithmetic number, because the mean of its divisors is an integer number (1805829732).

Almost surely, 2^57354172720 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 57354172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72233189280).

57354172720 is an abundant number, since it is smaller than the sum of its proper divisors (87112205840).

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

57354172720 is a wasteful number, since it uses less digits than its factorization.

57354172720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330422 (or 330416 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The spelling of 57354172720 in words is "fifty-seven billion, three hundred fifty-four million, one hundred seventy-two thousand, seven hundred twenty".