29749977272772 has 36 divisors (see below), whose sum is σ = 77794480802220. Its totient is φ = 9574705328832.

The previous prime is 29749977272749. The next prime is 29749977272843. The reversal of 29749977272772 is 27727277994792.

29749977272772 is a `hidden beast` number, since 297 + 49 + 97 + 72 + 72 + 7 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21966412943556 + 7783564329216 = 4686834^2 + 2789904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×29749977272772³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 29749977272691 and 29749977272700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14248072363 + ... + 14248074450.

Almost surely, 2^{29749977272772} is an apocalyptic number.

It is an amenable number.

29749977272772 is an abundant number, since it is smaller than the sum of its proper divisors (48044503529448).

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

29749977272772 is a wasteful number, since it uses less digits than its factorization.

29749977272772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28496146852 (or 28496146847 counting only the distinct ones).

The product of its digits is 5489031744, while the sum is 81.

The spelling of 29749977272772 in words is "twenty-nine trillion, seven hundred forty-nine billion, nine hundred seventy-seven million, two hundred seventy-two thousand, seven hundred seventy-two".