256195237210000 has 225 divisors, whose sum is σ = 681835952667639. Its totient is φ = 93155502000000.

The previous prime is 256195237209997. The next prime is 256195237210001. The reversal of 256195237210000 is 12732591652.

It is a happy number.

The square root of 256195237210000 is 16006100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 20085706597264 + 236109530612736 = 4481708^2 + 15365856^2 .

It is not an unprimeable number, because it can be changed into a prime (256195237210001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17606702725 + ... + 17606717275.

Almost surely, 2^{256195237210000} is an apocalyptic number.

256195237210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256195237210000 is the 16006100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256195237210000

256195237210000 is an abundant number, since it is smaller than the sum of its proper divisors (425640715457639).

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

256195237210000 is an frugal number, since it uses more digits than its factorization.

256195237210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29152 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 256195237210000 in words is "two hundred fifty-six trillion, one hundred ninety-five billion, two hundred thirty-seven million, two hundred ten thousand".