29420073180 has 288 divisors, whose sum is σ = 99115773120. Its totient is φ = 7299072000.

The previous prime is 29420073169. The next prime is 29420073239. The reversal of 29420073180 is 8137002492.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7351180 + ... + 7355180.

It is an arithmetic number, because the mean of its divisors is an integer number (344151990).

Almost surely, 2^29420073180 is an apocalyptic number.

29420073180 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 29420073180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49557886560).

29420073180 is an abundant number, since it is smaller than the sum of its proper divisors (69695699940).

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

29420073180 is a wasteful number, since it uses less digits than its factorization.

29420073180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 29420073180 in words is "twenty-nine billion, four hundred twenty million, seventy-three thousand, one hundred eighty".