29131986720 has 192 divisors, whose sum is σ = 93054528000. Its totient is φ = 7660044288.

The previous prime is 29131986649. The next prime is 29131986727. The reversal of 29131986720 is 2768913192.

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 29131986720.

It is not an unprimeable number, because it can be changed into a prime (29131986727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14572281 + ... + 14574279.

It is an arithmetic number, because the mean of its divisors is an integer number (484659000).

Almost surely, 2^29131986720 is an apocalyptic number.

29131986720 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 29131986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46527264000).

29131986720 is an abundant number, since it is smaller than the sum of its proper divisors (63922541280).

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

29131986720 is a wasteful number, since it uses less digits than its factorization.

29131986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 29131986720 in words is "twenty-nine billion, one hundred thirty-one million, nine hundred eighty-six thousand, seven hundred twenty".