29325235968 has 432 divisors, whose sum is σ = 103031335680. Its totient is φ = 7835222016.

The previous prime is 29325235939. The next prime is 29325235991. The reversal of 29325235968 is 86953252392.

29325235968 is a `hidden beast` number, since 2 + 9 + 3 + 2 + 523 + 59 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25433280 + ... + 25434432.

Almost surely, 2^29325235968 is an apocalyptic number.

29325235968 is a gapful number since it is divisible by the number (28) 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 29325235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51515667840).

29325235968 is an abundant number, since it is smaller than the sum of its proper divisors (73706099712).

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

29325235968 is a wasteful number, since it uses less digits than its factorization.

29325235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1267 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 29325235968 in words is "twenty-nine billion, three hundred twenty-five million, two hundred thirty-five thousand, nine hundred sixty-eight".