57577695000 has 960 divisors, whose sum is σ = 228526848000. Its totient is φ = 12065760000.

The previous prime is 57577694939. The next prime is 57577695001. The reversal of 57577695000 is 59677575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57577695001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1857344985 + ... + 1857345015.

It is an arithmetic number, because the mean of its divisors is an integer number (238048800).

Almost surely, 2^57577695000 is an apocalyptic number.

57577695000 is a gapful number since it is divisible by the number (50) 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 57577695000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114263424000).

57577695000 is an abundant number, since it is smaller than the sum of its proper divisors (170949153000).

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

57577695000 is a wasteful number, since it uses less digits than its factorization.

57577695000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2315250, while the sum is 51.

The spelling of 57577695000 in words is "fifty-seven billion, five hundred seventy-seven million, six hundred ninety-five thousand".