29745639688896 has 392 divisors, whose sum is σ = 90954741737600. Its totient is φ = 9640485236736.

The previous prime is 29745639688883. The next prime is 29745639688909. The reversal of 29745639688896 is 69888693654792.

29745639688896 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 56 + 396 + 8 + 88 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (29745639688883) and next prime (29745639688909).

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 55 ways as a sum of consecutive naturals, for example, 2860427505 + ... + 2860437903.

Almost surely, 2^{29745639688896} 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 29745639688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45477370868800).

29745639688896 is an abundant number, since it is smaller than the sum of its proper divisors (61209102048704).

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

29745639688896 is a wasteful number, since it uses less digits than its factorization.

29745639688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12098 counting only the distinct ones).

The product of its digits is 67722117120, while the sum is 90.

The spelling of 29745639688896 in words is "twenty-nine trillion, seven hundred forty-five billion, six hundred thirty-nine million, six hundred eighty-eight thousand, eight hundred ninety-six".