29538668320 has 192 divisors, whose sum is σ = 80668224000. Its totient is φ = 10012262400.

The previous prime is 29538668317. The next prime is 29538668387. The reversal of 29538668320 is 2386683592.

It is a super-2 number, since 2×29538668320² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65787456 + ... + 65787904.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 2^29538668320 is an apocalyptic number.

29538668320 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 29538668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112000).

29538668320 is an abundant number, since it is smaller than the sum of its proper divisors (51129555680).

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

29538668320 is a wasteful number, since it uses less digits than its factorization.

29538668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 29538668320 in words is "twenty-nine billion, five hundred thirty-eight million, six hundred sixty-eight thousand, three hundred twenty".