29085666584 has 48 divisors (see below), whose sum is σ = 59450112000. Its totient is φ = 13333966464.

The previous prime is 29085666563. The next prime is 29085666647. The reversal of 29085666584 is 48566658092.

It is a super-2 number, since 2×29085666584² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129257 + ... + 273639.

It is an arithmetic number, because the mean of its divisors is an integer number (1238544000).

Almost surely, 2^29085666584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29085666584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29725056000).

29085666584 is an abundant number, since it is smaller than the sum of its proper divisors (30364445416).

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

29085666584 is a wasteful number, since it uses less digits than its factorization.

29085666584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144564 (or 144547 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 59.

The spelling of 29085666584 in words is "twenty-nine billion, eighty-five million, six hundred sixty-six thousand, five hundred eighty-four".