29872523904 has 128 divisors (see below), whose sum is σ = 82201392000. Its totient is φ = 9605038080.

The previous prime is 29872523873. The next prime is 29872523917. The reversal of 29872523904 is 40932527892.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390557 + ... + 1411875.

It is an arithmetic number, because the mean of its divisors is an integer number (642198375).

Almost surely, 2^29872523904 is an apocalyptic number.

29872523904 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 29872523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41100696000).

29872523904 is an abundant number, since it is smaller than the sum of its proper divisors (52328868096).

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

29872523904 is a wasteful number, since it uses less digits than its factorization.

29872523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21466 (or 21454 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 29872523904 in words is "twenty-nine billion, eight hundred seventy-two million, five hundred twenty-three thousand, nine hundred four".