256573325000 has 192 divisors, whose sum is σ = 610976520000. Its totient is φ = 100994400000.

The previous prime is 256573324999. The next prime is 256573325023. The reversal of 256573325000 is 523375652.

It is a super-2 number, since 2×256573325000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514174751 + ... + 514175249.

It is an arithmetic number, because the mean of its divisors is an integer number (3182169375).

Almost surely, 2^256573325000 is an apocalyptic number.

256573325000 is a gapful number since it is divisible by the number (20) 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 256573325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305488260000).

256573325000 is an abundant number, since it is smaller than the sum of its proper divisors (354403195000).

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

256573325000 is a wasteful number, since it uses less digits than its factorization.

256573325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 38.

The spelling of 256573325000 in words is "two hundred fifty-six billion, five hundred seventy-three million, three hundred twenty-five thousand".