29985134004 has 144 divisors (see below), whose sum is σ = 91811760768. Its totient is φ = 8055097344.

The previous prime is 29985133939. The next prime is 29985134009. The reversal of 29985134004 is 40043158992.

29985134004 is a `hidden beast` number, since 2 + 9 + 98 + 513 + 40 + 0 + 4 = 666.

It is a super-2 number, since 2×29985134004² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29985134009) 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 47 ways as a sum of consecutive naturals, for example, 5107879 + ... + 5113745.

It is an arithmetic number, because the mean of its divisors is an integer number (637581672).

Almost surely, 2^29985134004 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 29985134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905880384).

29985134004 is an abundant number, since it is smaller than the sum of its proper divisors (61826626764).

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

29985134004 is a wasteful number, since it uses less digits than its factorization.

29985134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 29985134004 in words is "twenty-nine billion, nine hundred eighty-five million, one hundred thirty-four thousand, four".