1009577247672 has 32 divisors (see below), whose sum is σ = 2884506422400. Its totient is φ = 288450642144.

The previous prime is 1009577247629. The next prime is 1009577247697. The reversal of 1009577247672 is 2767427759001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3004694022 + ... + 3004694357.

It is an arithmetic number, because the mean of its divisors is an integer number (90140825700).

Almost surely, 2^{1009577247672} is an apocalyptic number.

1009577247672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009577247672 is an abundant number, since it is smaller than the sum of its proper divisors (1874929174728).

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

1009577247672 is a wasteful number, since it uses less digits than its factorization.

1009577247672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009388395 (or 6009388391 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 1009577247672 in words is "one trillion, nine billion, five hundred seventy-seven million, two hundred forty-seven thousand, six hundred seventy-two".