29995848960 has 576 divisors, whose sum is σ = 120230369280. Its totient is φ = 6191677440.

The previous prime is 29995848943. The next prime is 29995849033. The reversal of 29995848960 is 6984859992.

It is a super-2 number, since 2×29995848960² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67710499 + ... + 67710941.

It is an arithmetic number, because the mean of its divisors is an integer number (208733280).

Almost surely, 2^29995848960 is an apocalyptic number.

29995848960 is a gapful number since it is divisible by the number (20) 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 29995848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60115184640).

29995848960 is an abundant number, since it is smaller than the sum of its proper divisors (90234520320).

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

29995848960 is a wasteful number, since it uses less digits than its factorization.

29995848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 69.

The spelling of 29995848960 in words is "twenty-nine billion, nine hundred ninety-five million, eight hundred forty-eight thousand, nine hundred sixty".