1257300963072 has 2160 divisors, whose sum is σ = 5107569046272. Its totient is φ = 303495413760.

The previous prime is 1257300963047. The next prime is 1257300963143. The reversal of 1257300963072 is 2703690037521.

1257300963072 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 0 + 0 + 9 + 630 + 7 + 2 = 666.

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 239 ways as a sum of consecutive naturals, for example, 17223300828 + ... + 17223300900.

Almost surely, 2^{1257300963072} is an apocalyptic number.

1257300963072 is a gapful number since it is divisible by the number (12) 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 1257300963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553784523136).

1257300963072 is an abundant number, since it is smaller than the sum of its proper divisors (3850268083200).

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

1257300963072 is a wasteful number, since it uses less digits than its factorization.

1257300963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1257300963072 in words is "one trillion, two hundred fifty-seven billion, three hundred million, nine hundred sixty-three thousand, seventy-two".