1256131066304 has 112 divisors (see below), whose sum is σ = 2555885525760. Its totient is φ = 612322314240.

The previous prime is 1256131066283. The next prime is 1256131066369. The reversal of 1256131066304 is 4036601316521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309618644 + ... + 309622700.

It is an arithmetic number, because the mean of its divisors is an integer number (22820406480).

Almost surely, 2^{1256131066304} 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 1256131066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277942762880).

1256131066304 is an abundant number, since it is smaller than the sum of its proper divisors (1299754459456).

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

1256131066304 is a wasteful number, since it uses less digits than its factorization.

1256131066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 1256131066304 in words is "one trillion, two hundred fifty-six billion, one hundred thirty-one million, sixty-six thousand, three hundred four".