1256267632960 has 224 divisors, whose sum is σ = 3079552896000. Its totient is φ = 487967293440.

The previous prime is 1256267632913. The next prime is 1256267632973. The reversal of 1256267632960 is 692367626521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523661841 + ... + 523664239.

It is an arithmetic number, because the mean of its divisors is an integer number (13748004000).

Almost surely, 2^{1256267632960} is an apocalyptic number.

1256267632960 is a gapful number since it is divisible by the number (10) 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 1256267632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539776448000).

1256267632960 is an abundant number, since it is smaller than the sum of its proper divisors (1823285263040).

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

1256267632960 is a wasteful number, since it uses less digits than its factorization.

1256267632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 1256267632960 in words is "one trillion, two hundred fifty-six billion, two hundred sixty-seven million, six hundred thirty-two thousand, nine hundred sixty".