1006800292752 has 80 divisors (see below), whose sum is σ = 2666933495808. Its totient is φ = 327177123840.

The previous prime is 1006800292721. The next prime is 1006800292783. The reversal of 1006800292752 is 2572920086001.

It is an interprime number because it is at equal distance from previous prime (1006800292721) and next prime (1006800292783).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190608 + ... + 1852335.

Almost surely, 2^{1006800292752} is an apocalyptic number.

1006800292752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006800292752 is an abundant number, since it is smaller than the sum of its proper divisors (1660133203056).

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

1006800292752 is a wasteful number, since it uses less digits than its factorization.

1006800292752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043128 (or 3043122 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1006800292752 in words is "one trillion, six billion, eight hundred million, two hundred ninety-two thousand, seven hundred fifty-two".