29343980160 has 768 divisors, whose sum is σ = 121497667200. Its totient is φ = 6688604160.

The previous prime is 29343980131. The next prime is 29343980189. The reversal of 29343980160 is 6108934392.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29343980131) and next prime (29343980189).

It is a super-2 number, since 2×29343980160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29081736 + ... + 29082744.

Almost surely, 2^29343980160 is an apocalyptic number.

29343980160 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 29343980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60748833600).

29343980160 is an abundant number, since it is smaller than the sum of its proper divisors (92153687040).

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

29343980160 is a wasteful number, since it uses less digits than its factorization.

29343980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29343980160 in words is "twenty-nine billion, three hundred forty-three million, nine hundred eighty thousand, one hundred sixty".