1257696460800 has 1122 divisors, whose sum is σ = 5038458630422. Its totient is φ = 309586821120.

The previous prime is 1257696460799. The next prime is 1257696460819. The reversal of 1257696460800 is 80646967521.

1257696460800 is a `hidden beast` number, since 1 + 2 + 576 + 9 + 6 + 4 + 60 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3869835264 + 1253826625536 = 62208^2 + 1119744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 96745881594 + ... + 96745881606.

Almost surely, 2^{1257696460800} is an apocalyptic number.

1257696460800 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 1257696460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519229315211).

1257696460800 is an abundant number, since it is smaller than the sum of its proper divisors (3780762169622).

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

1257696460800 is an frugal number, since it uses more digits than its factorization.

1257696460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1257696460800 in words is "one trillion, two hundred fifty-seven billion, six hundred ninety-six million, four hundred sixty thousand, eight hundred".