29025964968 has 864 divisors, whose sum is σ = 107878236480. Its totient is φ = 6457651200.

The previous prime is 29025964967. The next prime is 29025964987. The reversal of 29025964968 is 86946952092.

It is not an unprimeable number, because it can be changed into a prime (29025964967) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 408816373 + ... + 408816443.

It is an arithmetic number, because the mean of its divisors is an integer number (124859070).

Almost surely, 2^29025964968 is an apocalyptic number.

29025964968 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 29025964968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53939118240).

29025964968 is an abundant number, since it is smaller than the sum of its proper divisors (78852271512).

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

29025964968 is a wasteful number, since it uses less digits than its factorization.

29025964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 29025964968 in words is "twenty-nine billion, twenty-five million, nine hundred sixty-four thousand, nine hundred sixty-eight".