29681610552 has 48 divisors (see below), whose sum is σ = 87695669880. Its totient is φ = 8994427200.

The previous prime is 29681610527. The next prime is 29681610601. The reversal of 29681610552 is 25501618692.

29681610552 is a `hidden beast` number, since 2 + 9 + 6 + 81 + 6 + 10 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29681610498 and 29681610507.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18737599 + ... + 18739182.

Almost surely, 2^29681610552 is an apocalyptic number.

29681610552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29681610552 is an abundant number, since it is smaller than the sum of its proper divisors (58014059328).

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

29681610552 is a wasteful number, since it uses less digits than its factorization.

29681610552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37476804 (or 37476797 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 29681610552 in words is "twenty-nine billion, six hundred eighty-one million, six hundred ten thousand, five hundred fifty-two".