10008886272 has 704 divisors, whose sum is σ = 37353000960. Its totient is φ = 2300313600.

The previous prime is 10008886249. The next prime is 10008886297. The reversal of 10008886272 is 27268880001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76403647 + ... + 76403777.

It is an arithmetic number, because the mean of its divisors is an integer number (53058240).

Almost surely, 2^10008886272 is an apocalyptic number.

10008886272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676500480).

10008886272 is an abundant number, since it is smaller than the sum of its proper divisors (27344114688).

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

10008886272 is a wasteful number, since it uses less digits than its factorization.

10008886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 10008886272 in words is "ten billion, eight million, eight hundred eighty-six thousand, two hundred seventy-two".