20825333760 has 896 divisors, whose sum is σ = 86967779328. Its totient is φ = 4128768000.

The previous prime is 20825333731. The next prime is 20825333779. The reversal of 20825333760 is 6733352802.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293314525 + ... + 293314595.

Almost surely, 2^20825333760 is an apocalyptic number.

20825333760 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 20825333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43483889664).

20825333760 is an abundant number, since it is smaller than the sum of its proper divisors (66142445568).

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

20825333760 is a wasteful number, since it uses less digits than its factorization.

20825333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 20825333760 in words is "twenty billion, eight hundred twenty-five million, three hundred thirty-three thousand, seven hundred sixty".