29409486960 has 320 divisors, whose sum is σ = 110422932480. Its totient is φ = 6331637760.

The previous prime is 29409486871. The next prime is 29409486971. The reversal of 29409486960 is 6968490492.

It is a self number, because there is not a number n which added to its sum of digits gives 29409486960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990159 + ... + 2004881.

It is an arithmetic number, because the mean of its divisors is an integer number (345071664).

Almost surely, 2^29409486960 is an apocalyptic number.

29409486960 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 29409486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55211466240).

29409486960 is an abundant number, since it is smaller than the sum of its proper divisors (81013445520).

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

29409486960 is a wasteful number, since it uses less digits than its factorization.

29409486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14810 counting only the distinct ones).

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

The spelling of 29409486960 in words is "twenty-nine billion, four hundred nine million, four hundred eighty-six thousand, nine hundred sixty".