20506625280 has 576 divisors, whose sum is σ = 75497184000. Its totient is φ = 5268307968.

The previous prime is 20506625263. The next prime is 20506625291. The reversal of 20506625280 is 8252660502.

20506625280 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 6 + 625 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 181474504 + ... + 181474616.

It is an arithmetic number, because the mean of its divisors is an integer number (131071500).

Almost surely, 2^20506625280 is an apocalyptic number.

20506625280 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 20506625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748592000).

20506625280 is an abundant number, since it is smaller than the sum of its proper divisors (54990558720).

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

20506625280 is a wasteful number, since it uses less digits than its factorization.

20506625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20506625280 in words is "twenty billion, five hundred six million, six hundred twenty-five thousand, two hundred eighty".