20540825184 has 192 divisors, whose sum is σ = 61002160128. Its totient is φ = 5995622400.

The previous prime is 20540825177. The next prime is 20540825189. The reversal of 20540825184 is 48152804502.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540825189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7626142 + ... + 7628834.

It is an arithmetic number, because the mean of its divisors is an integer number (317719584).

Almost surely, 2^20540825184 is an apocalyptic number.

20540825184 is a gapful number since it is divisible by the number (24) 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 20540825184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30501080064).

20540825184 is an abundant number, since it is smaller than the sum of its proper divisors (40461334944).

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

20540825184 is a wasteful number, since it uses less digits than its factorization.

20540825184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 20540825184 in words is "twenty billion, five hundred forty million, eight hundred twenty-five thousand, one hundred eighty-four".