1256525894400 has 1080 divisors, whose sum is σ = 4904908138704. Its totient is φ = 283233484800.

The previous prime is 1256525894399. The next prime is 1256525894441. The reversal of 1256525894400 is 44985256521.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4471622260 + ... + 4471622540.

Almost surely, 2^{1256525894400} is an apocalyptic number.

1256525894400 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 1256525894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452454069352).

1256525894400 is an abundant number, since it is smaller than the sum of its proper divisors (3648382244304).

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

1256525894400 is an frugal number, since it uses more digits than its factorization.

1256525894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 1256525894400 in words is "one trillion, two hundred fifty-six billion, five hundred twenty-five million, eight hundred ninety-four thousand, four hundred".