1005998794560 has 168 divisors, whose sum is σ = 3663759023496. Its totient is φ = 252485959680.

The previous prime is 1005998794547. The next prime is 1005998794573. The reversal of 1005998794560 is 654978995001.

1005998794560 is a `hidden beast` number, since 10 + 0 + 5 + 99 + 87 + 9 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1005998794547) and next prime (1005998794573).

It can be written as a sum of positive squares in 4 ways, for example, as 295187929344 + 710810865216 = 543312^2 + 843096^2 .

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 23 ways as a sum of consecutive naturals, for example, 10224721 + ... + 10322640.

Almost surely, 2^{1005998794560} is an apocalyptic number.

1005998794560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005998794560 is an abundant number, since it is smaller than the sum of its proper divisors (2657760228936).

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

1005998794560 is a wasteful number, since it uses less digits than its factorization.

1005998794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20547401 (or 20547388 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 1005998794560 in words is "one trillion, five billion, nine hundred ninety-eight million, seven hundred ninety-four thousand, five hundred sixty".