857427645600 has 216 divisors, whose sum is σ = 3027181248000. Its totient is φ = 228369308160.

The previous prime is 857427645583. The next prime is 857427645643. The reversal of 857427645600 is 6546724758.

It is a happy number.

857427645600 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 2 + 76 + 4 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5882401 + ... + 6026399.

It is an arithmetic number, because the mean of its divisors is an integer number (14014728000).

Almost surely, 2^857427645600 is an apocalyptic number.

857427645600 is a gapful number since it is divisible by the number (80) 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 857427645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513590624000).

857427645600 is an abundant number, since it is smaller than the sum of its proper divisors (2169753602400).

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

857427645600 is a wasteful number, since it uses less digits than its factorization.

857427645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144852 (or 144836 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 857427645600 in words is "eight hundred fifty-seven billion, four hundred twenty-seven million, six hundred forty-five thousand, six hundred".