1256958736320 has 896 divisors, whose sum is σ = 4867498967040. Its totient is φ = 268638289920.

The previous prime is 1256958736309. The next prime is 1256958736321. The reversal of 1256958736320 is 236378596521.

It is a super-2 number, since 2×1256958736320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256958736321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1379756665 + ... + 1379757575.

Almost surely, 2^{1256958736320} is an apocalyptic number.

1256958736320 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 1256958736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433749483520).

1256958736320 is an abundant number, since it is smaller than the sum of its proper divisors (3610540230720).

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

1256958736320 is a wasteful number, since it uses less digits than its factorization.

1256958736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 1256958736320 in words is "one trillion, two hundred fifty-six billion, nine hundred fifty-eight million, seven hundred thirty-six thousand, three hundred twenty".