1287632856510 has 768 divisors, whose sum is σ = 4564972339200. Its totient is φ = 243166510080.

The previous prime is 1287632856509. The next prime is 1287632856511. The reversal of 1287632856510 is 156582367821.

1287632856510 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 63 + 2 + 8 + 565 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (1287632856509) and next prime (1287632856511).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287632856511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2149637191 + ... + 2149637789.

It is an arithmetic number, because the mean of its divisors is an integer number (5943974400).

Almost surely, 2^{1287632856510} is an apocalyptic number.

1287632856510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1287632856510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282486169600).

1287632856510 is an abundant number, since it is smaller than the sum of its proper divisors (3277339482690).

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

1287632856510 is a wasteful number, since it uses less digits than its factorization.

1287632856510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1287632856510 in words is "one trillion, two hundred eighty-seven billion, six hundred thirty-two million, eight hundred fifty-six thousand, five hundred ten".