29006505948672 has 200 divisors, whose sum is σ = 98944895331216. Its totient is φ = 8287573045248.

The previous prime is 29006505948643. The next prime is 29006505948737. The reversal of 29006505948672 is 27684950560092.

29006505948672 is a `hidden beast` number, since 2 + 90 + 0 + 65 + 0 + 5 + 9 + 486 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49668543 + ... + 50249150.

Almost surely, 2^{29006505948672} is an apocalyptic number.

It is an amenable number.

29006505948672 is an abundant number, since it is smaller than the sum of its proper divisors (69938389382544).

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

29006505948672 is an frugal number, since it uses more digits than its factorization.

29006505948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99917730 (or 99917705 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 29006505948672 in words is "twenty-nine trillion, six billion, five hundred five million, nine hundred forty-eight thousand, six hundred seventy-two".