20527319904 has 288 divisors, whose sum is σ = 68179587840. Its totient is φ = 5359592448.

The previous prime is 20527319863. The next prime is 20527319909. The reversal of 20527319904 is 40991372502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20527319909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6297027 + ... + 6300285.

It is an arithmetic number, because the mean of its divisors is an integer number (236734680).

Almost surely, 2^20527319904 is an apocalyptic number.

20527319904 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 20527319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34089793920).

20527319904 is an abundant number, since it is smaller than the sum of its proper divisors (47652267936).

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

20527319904 is a wasteful number, since it uses less digits than its factorization.

20527319904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 20527319904 in words is "twenty billion, five hundred twenty-seven million, three hundred nineteen thousand, nine hundred four".