29688180874992 has 120 divisors (see below), whose sum is σ = 85858188474240. Its totient is φ = 9566522449920.

The previous prime is 29688180874981. The next prime is 29688180875039. The reversal of 29688180874992 is 29947808188692.

29688180874992 is a `hidden beast` number, since 296 + 88 + 180 + 8 + 74 + 9 + 9 + 2 = 666.

It is a super-3 number, since 3×29688180874992³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567628 + ... + 7726484.

It is an arithmetic number, because the mean of its divisors is an integer number (715484903952).

Almost surely, 2^{29688180874992} 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 29688180874992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42929094237120).

29688180874992 is an abundant number, since it is smaller than the sum of its proper divisors (56170007599248).

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

29688180874992 is a wasteful number, since it uses less digits than its factorization.

29688180874992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159831 (or 7159822 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 81.

The spelling of 29688180874992 in words is "twenty-nine trillion, six hundred eighty-eight billion, one hundred eighty million, eight hundred seventy-four thousand, nine hundred ninety-two".