1256646097320 has 384 divisors, whose sum is σ = 4184903024640. Its totient is φ = 301244106240.

The previous prime is 1256646097279. The next prime is 1256646097321. The reversal of 1256646097320 is 237906466521.

It is a super-3 number, since 3×1256646097320³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1256646097321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126532755 + ... + 126542685.

It is an arithmetic number, because the mean of its divisors is an integer number (10898184960).

Almost surely, 2^{1256646097320} is an apocalyptic number.

1256646097320 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 1256646097320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092451512320).

1256646097320 is an abundant number, since it is smaller than the sum of its proper divisors (2928256927320).

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

1256646097320 is a wasteful number, since it uses less digits than its factorization.

1256646097320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1256646097320 in words is "one trillion, two hundred fifty-six billion, six hundred forty-six million, ninety-seven thousand, three hundred twenty".