1257854113152 has 1024 divisors, whose sum is σ = 4683200256000. Its totient is φ = 323561226240.

The previous prime is 1257854113151. The next prime is 1257854113163. The reversal of 1257854113152 is 2513114587521.

1257854113152 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 85 + 411 + 3 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1257854113098 and 1257854113107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257854113151) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3318876099 + ... + 3318876477.

It is an arithmetic number, because the mean of its divisors is an integer number (4573437750).

Almost surely, 2^{1257854113152} is an apocalyptic number.

1257854113152 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 1257854113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341600128000).

1257854113152 is an abundant number, since it is smaller than the sum of its proper divisors (3425346142848).

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

1257854113152 is a wasteful number, since it uses less digits than its factorization.

1257854113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 638 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 1257854113152 in words is "one trillion, two hundred fifty-seven billion, eight hundred fifty-four million, one hundred thirteen thousand, one hundred fifty-two".