20579125248 has 384 divisors, whose sum is σ = 69440716800. Its totient is φ = 5960908800.

The previous prime is 20579125199. The next prime is 20579125253. The reversal of 20579125248 is 84252197502.

20579125248 is a `hidden beast` number, since 20 + 579 + 1 + 2 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 13989153 + ... + 13990623.

It is an arithmetic number, because the mean of its divisors is an integer number (180835200).

Almost surely, 2^20579125248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20579125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720358400).

20579125248 is an abundant number, since it is smaller than the sum of its proper divisors (48861591552).

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

20579125248 is a wasteful number, since it uses less digits than its factorization.

20579125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20579125248 in words is "twenty billion, five hundred seventy-nine million, one hundred twenty-five thousand, two hundred forty-eight".