20825690880 has 576 divisors, whose sum is σ = 74766053376. Its totient is φ = 4915200000.

The previous prime is 20825690861. The next prime is 20825690881. The reversal of 20825690880 is 8809652802.

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

It is not an unprimeable number, because it can be changed into a prime (20825690881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82970755 + ... + 82971005.

It is an arithmetic number, because the mean of its divisors is an integer number (129802176).

Almost surely, 2^20825690880 is an apocalyptic number.

20825690880 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 20825690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37383026688).

20825690880 is an abundant number, since it is smaller than the sum of its proper divisors (53940362496).

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

20825690880 is a wasteful number, since it uses less digits than its factorization.

20825690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 20825690880 in words is "twenty billion, eight hundred twenty-five million, six hundred ninety thousand, eight hundred eighty".