10001888976672 has 144 divisors (see below), whose sum is σ = 28506734343360. Its totient is φ = 3326485833216.

The previous prime is 10001888976619. The next prime is 10001888976679. The reversal of 10001888976672 is 27667988810001.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10001888976679) by changing a digit.

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, 233683978 + ... + 233726774.

It is an arithmetic number, because the mean of its divisors is an integer number (197963432940).

Almost surely, 2^{10001888976672} is an apocalyptic number.

10001888976672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001888976672 is an abundant number, since it is smaller than the sum of its proper divisors (18504845366688).

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

10001888976672 is a wasteful number, since it uses less digits than its factorization.

10001888976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44615 (or 44604 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 10001888976672 in words is "ten trillion, one billion, eight hundred eighty-eight million, nine hundred seventy-six thousand, six hundred seventy-two".