20429512272 has 720 divisors, whose sum is σ = 72639815040. Its totient is φ = 5313724416.

The previous prime is 20429512261. The next prime is 20429512283. The reversal of 20429512272 is 27221592402.

It is a happy number.

20429512272 is a `hidden beast` number, since 2 + 0 + 429 + 5 + 1 + 227 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20429512261) and next prime (20429512283).

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 143 ways as a sum of consecutive naturals, for example, 180792088 + ... + 180792200.

It is an arithmetic number, because the mean of its divisors is an integer number (100888632).

Almost surely, 2^20429512272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20429512272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36319907520).

20429512272 is an abundant number, since it is smaller than the sum of its proper divisors (52210302768).

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

20429512272 is a wasteful number, since it uses less digits than its factorization.

20429512272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20429512272 in words is "twenty billion, four hundred twenty-nine million, five hundred twelve thousand, two hundred seventy-two".