1257851306880 has 640 divisors, whose sum is σ = 5142022776000. Its totient is φ = 287044632576.

The previous prime is 1257851306869. The next prime is 1257851306917. The reversal of 1257851306880 is 886031587521.

1257851306880 is a `hidden beast` number, since 1 + 2 + 578 + 5 + 1 + 3 + 0 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257279476 + ... + 257284364.

Almost surely, 2^{1257851306880} is an apocalyptic number.

1257851306880 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 1257851306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571011388000).

1257851306880 is an abundant number, since it is smaller than the sum of its proper divisors (3884171469120).

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

1257851306880 is an equidigital number, since it uses as much as digits as its factorization.

1257851306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1257851306880 in words is "one trillion, two hundred fifty-seven billion, eight hundred fifty-one million, three hundred six thousand, eight hundred eighty".