20538385920 has 800 divisors, whose sum is σ = 83598086880. Its totient is φ = 4777574400.

The previous prime is 20538385919. The next prime is 20538385957. The reversal of 20538385920 is 2958383502.

20538385920 is a `hidden beast` number, since 2 + 0 + 53 + 8 + 3 + 8 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 51217720 + ... + 51218120.

Almost surely, 2^20538385920 is an apocalyptic number.

20538385920 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 20538385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41799043440).

20538385920 is an abundant number, since it is smaller than the sum of its proper divisors (63059700960).

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

20538385920 is a wasteful number, since it uses less digits than its factorization.

20538385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20538385920 in words is "twenty billion, five hundred thirty-eight million, three hundred eighty-five thousand, nine hundred twenty".