57680937216 has 648 divisors, whose sum is σ = 203562777600. Its totient is φ = 16240766976.

The previous prime is 57680937203. The next prime is 57680937247. The reversal of 57680937216 is 61273908675.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×57680937216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387120310 + ... + 387120458.

Almost surely, 2^57680937216 is an apocalyptic number.

57680937216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57680937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101781388800).

57680937216 is an abundant number, since it is smaller than the sum of its proper divisors (145881840384).

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

57680937216 is a wasteful number, since it uses less digits than its factorization.

57680937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57680937216 in words is "fifty-seven billion, six hundred eighty million, nine hundred thirty-seven thousand, two hundred sixteen".