20829861272 has 64 divisors (see below), whose sum is σ = 45389635200. Its totient is φ = 8861667840.

The previous prime is 20829861259. The next prime is 20829861287. The reversal of 20829861272 is 27216892802.

It is a super-2 number, since 2×20829861272² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63728 + ... + 213824.

It is an arithmetic number, because the mean of its divisors is an integer number (709213050).

Almost surely, 2^20829861272 is an apocalyptic number.

20829861272 is a gapful number since it is divisible by the number (22) 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 20829861272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22694817600).

20829861272 is an abundant number, since it is smaller than the sum of its proper divisors (24559773928).

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

20829861272 is a wasteful number, since it uses less digits than its factorization.

20829861272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150216 (or 150212 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 20829861272 in words is "twenty billion, eight hundred twenty-nine million, eight hundred sixty-one thousand, two hundred seventy-two".