1009891498752 has 54 divisors (see below), whose sum is σ = 2911766163852. Its totient is φ = 336630498816.

The previous prime is 1009891498723. The next prime is 1009891498753. The reversal of 1009891498752 is 2578941989001.

1009891498752 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 91 + 498 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1009891498752.

It is not an unprimeable number, because it can be changed into a prime (1009891498753) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 219158178 + ... + 219162785.

Almost surely, 2^{1009891498752} is an apocalyptic number.

1009891498752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009891498752 is an abundant number, since it is smaller than the sum of its proper divisors (1901874665100).

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

1009891498752 is an equidigital number, since it uses as much as digits as its factorization.

1009891498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438320985 (or 438320968 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1009891498752 in words is "one trillion, nine billion, eight hundred ninety-one million, four hundred ninety-eight thousand, seven hundred fifty-two".