57439013632 has 648 divisors, whose sum is σ = 164005049376. Its totient is φ = 19869696000.

The previous prime is 57439013629. The next prime is 57439013641. The reversal of 57439013632 is 23631093475.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 809000157 + ... + 809000227.

It is an arithmetic number, because the mean of its divisors is an integer number (253094212).

Almost surely, 2^57439013632 is an apocalyptic number.

57439013632 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 57439013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82002524688).

57439013632 is an abundant number, since it is smaller than the sum of its proper divisors (106566035744).

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

57439013632 is a wasteful number, since it uses less digits than its factorization.

57439013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 57439013632 in words is "fifty-seven billion, four hundred thirty-nine million, thirteen thousand, six hundred thirty-two".