20829238560 has 192 divisors, whose sum is σ = 78510418560. Its totient is φ = 5127183360.

The previous prime is 20829238537. The next prime is 20829238663. The reversal of 20829238560 is 6583292802.

It is a happy number.

20829238560 is a `hidden beast` number, since 2 + 0 + 82 + 9 + 2 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129286 + ... + 241605.

It is an arithmetic number, because the mean of its divisors is an integer number (408908430).

Almost surely, 2^20829238560 is an apocalyptic number.

20829238560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20829238560 is an abundant number, since it is smaller than the sum of its proper divisors (57681180000).

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

20829238560 is a wasteful number, since it uses less digits than its factorization.

20829238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370928 (or 370914 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20829238560 in words is "twenty billion, eight hundred twenty-nine million, two hundred thirty-eight thousand, five hundred sixty".