57919096872 has 256 divisors, whose sum is σ = 201374208000. Its totient is φ = 15016161024.

The previous prime is 57919096871. The next prime is 57919096909. The reversal of 57919096872 is 27869091975.

57919096872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57919096871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134733 + ... + 1184675.

It is an arithmetic number, because the mean of its divisors is an integer number (786618000).

Almost surely, 2^57919096872 is an apocalyptic number.

57919096872 is a gapful number since it is divisible by the number (52) 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 57919096872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100687104000).

57919096872 is an abundant number, since it is smaller than the sum of its proper divisors (143455111128).

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

57919096872 is a wasteful number, since it uses less digits than its factorization.

57919096872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50037 (or 50027 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 57919096872 in words is "fifty-seven billion, nine hundred nineteen million, ninety-six thousand, eight hundred seventy-two".