10081584773560 has 64 divisors (see below), whose sum is σ = 22748773924800. Its totient is φ = 4021043352576.

The previous prime is 10081584773527. The next prime is 10081584773573. The reversal of 10081584773560 is 6537748518001.

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 15 ways as a sum of consecutive naturals, for example, 211254822 + ... + 211302538.

It is an arithmetic number, because the mean of its divisors is an integer number (355449592575).

Almost surely, 2^{10081584773560} is an apocalyptic number.

10081584773560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10081584773560 is an abundant number, since it is smaller than the sum of its proper divisors (12667189151240).

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

10081584773560 is a wasteful number, since it uses less digits than its factorization.

10081584773560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62800 (or 62796 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 10081584773560 in words is "ten trillion, eighty-one billion, five hundred eighty-four million, seven hundred seventy-three thousand, five hundred sixty".