20542579200 has 1440 divisors, whose sum is σ = 91424773440. Its totient is φ = 4335206400.

The previous prime is 20542579181. The next prime is 20542579207. The reversal of 20542579200 is 297524502.

It is a happy number.

20542579200 is a `hidden beast` number, since 20 + 5 + 42 + 579 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20542579207) 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 143 ways as a sum of consecutive naturals, for example, 477734379 + ... + 477734421.

It is an arithmetic number, because the mean of its divisors is an integer number (63489426).

Almost surely, 2^20542579200 is an apocalyptic number.

20542579200 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 20542579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45712386720).

20542579200 is an abundant number, since it is smaller than the sum of its proper divisors (70882194240).

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

20542579200 is a wasteful number, since it uses less digits than its factorization.

20542579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 20542579200 in words is "twenty billion, five hundred forty-two million, five hundred seventy-nine thousand, two hundred".