29386068960 has 192 divisors, whose sum is σ = 95239065600. Its totient is φ = 7610775552.

The previous prime is 29386068953. The next prime is 29386068989. The reversal of 29386068960 is 6986068392.

It is a self number, because there is not a number n which added to its sum of digits gives 29386068960.

It is a congruent number.

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, 13123521 + ... + 13125759.

It is an arithmetic number, because the mean of its divisors is an integer number (496036800).

Almost surely, 2^29386068960 is an apocalyptic number.

29386068960 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 29386068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47619532800).

29386068960 is an abundant number, since it is smaller than the sum of its proper divisors (65852996640).

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

29386068960 is a wasteful number, since it uses less digits than its factorization.

29386068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 29386068960 in words is "twenty-nine billion, three hundred eighty-six million, sixty-eight thousand, nine hundred sixty".