57672413337120 has 192 divisors, whose sum is σ = 182697606000000. Its totient is φ = 15292170223616.

The previous prime is 57672413337113. The next prime is 57672413337157. The reversal of 57672413337120 is 2173331427675.

It is a super-2 number, since 2×57672413337120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708846006 + ... + 1708879754.

It is an arithmetic number, because the mean of its divisors is an integer number (951550031250).

Almost surely, 2^{57672413337120} 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 57672413337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91348803000000).

57672413337120 is an abundant number, since it is smaller than the sum of its proper divisors (125025192662880).

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

57672413337120 is a wasteful number, since it uses less digits than its factorization.

57672413337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53835 (or 53827 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 57672413337120 in words is "fifty-seven trillion, six hundred seventy-two billion, four hundred thirteen million, three hundred thirty-seven thousand, one hundred twenty".