1007257208256 has 504 divisors, whose sum is σ = 3264066069264. Its totient is φ = 307825090560.

The previous prime is 1007257208233. The next prime is 1007257208299. The reversal of 1007257208256 is 6528027527001.

1007257208256 is a `hidden beast` number, since 1 + 0 + 0 + 72 + 572 + 0 + 8 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 412639996 + ... + 412642436.

It is an arithmetic number, because the mean of its divisors is an integer number (6476321566).

Almost surely, 2^{1007257208256} is an apocalyptic number.

1007257208256 is a gapful number since it is divisible by the number (16) 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 1007257208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632033034632).

1007257208256 is an abundant number, since it is smaller than the sum of its proper divisors (2256808861008).

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

1007257208256 is a wasteful number, since it uses less digits than its factorization.

1007257208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1007257208256 in words is "one trillion, seven billion, two hundred fifty-seven million, two hundred eight thousand, two hundred fifty-six".