10005564129582 has 96 divisors (see below), whose sum is σ = 24082115539104. Its totient is φ = 2761393152000.

The previous prime is 10005564129557. The next prime is 10005564129647. The reversal of 10005564129582 is 28592146550001.

It is a super-2 number, since 2×10005564129582² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2891763 + ... + 5326670.

It is an arithmetic number, because the mean of its divisors is an integer number (250855370199).

Almost surely, 2^{10005564129582} is an apocalyptic number.

10005564129582 is an abundant number, since it is smaller than the sum of its proper divisors (14076551409522).

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

10005564129582 is a wasteful number, since it uses less digits than its factorization.

10005564129582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218594 (or 8218587 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 10005564129582 in words is "ten trillion, five billion, five hundred sixty-four million, one hundred twenty-nine thousand, five hundred eighty-two".