29927911104 has 1176 divisors, whose sum is σ = 119632872240. Its totient is φ = 7336562688.

The previous prime is 29927911099. The next prime is 29927911127. The reversal of 29927911104 is 40111972992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a self number, because there is not a number n which added to its sum of digits gives 29927911104.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 564677542 + ... + 564677594.

Almost surely, 2^29927911104 is an apocalyptic number.

29927911104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29927911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816436120).

29927911104 is an abundant number, since it is smaller than the sum of its proper divisors (89704961136).

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

29927911104 is a wasteful number, since it uses less digits than its factorization.

29927911104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 29927911104 in words is "twenty-nine billion, nine hundred twenty-seven million, nine hundred eleven thousand, one hundred four".