29180647920 has 160 divisors (see below), whose sum is σ = 95172033600. Its totient is φ = 7386439680.

The previous prime is 29180647901. The next prime is 29180647943. The reversal of 29180647920 is 2974608192.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29180647920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324006 + ... + 404154.

It is an arithmetic number, because the mean of its divisors is an integer number (594825210).

Almost surely, 2^29180647920 is an apocalyptic number.

29180647920 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 29180647920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586016800).

29180647920 is an abundant number, since it is smaller than the sum of its proper divisors (65991385680).

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

29180647920 is a wasteful number, since it uses less digits than its factorization.

29180647920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80243 (or 80237 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 29180647920 in words is "twenty-nine billion, one hundred eighty million, six hundred forty-seven thousand, nine hundred twenty".