57082669952 has 192 divisors, whose sum is σ = 144704413440. Its totient is φ = 22179548160.

The previous prime is 57082669939. The next prime is 57082669961. The reversal of 57082669952 is 25996628075.

It is a junction number, because it is equal to n+sod(n) for n = 57082669891 and 57082669900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31942403 + ... + 31944189.

It is an arithmetic number, because the mean of its divisors is an integer number (753668820).

Almost surely, 2^57082669952 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 57082669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72352206720).

57082669952 is an abundant number, since it is smaller than the sum of its proper divisors (87621743488).

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

57082669952 is a wasteful number, since it uses less digits than its factorization.

57082669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 57082669952 in words is "fifty-seven billion, eighty-two million, six hundred sixty-nine thousand, nine hundred fifty-two".