48564773280 has 288 divisors, whose sum is σ = 170747740800. Its totient is φ = 12560541696.

The previous prime is 48564773269. The next prime is 48564773287. The reversal of 48564773280 is 8237746584.

48564773280 is a `hidden beast` number, since 4 + 8 + 564 + 7 + 73 + 2 + 8 + 0 = 666.

48564773280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (48564773287) 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, 19126251 + ... + 19128789.

It is an arithmetic number, because the mean of its divisors is an integer number (592874100).

Almost surely, 2^48564773280 is an apocalyptic number.

48564773280 is a gapful number since it is divisible by the number (40) 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 48564773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85373870400).

48564773280 is an abundant number, since it is smaller than the sum of its proper divisors (122182967520).

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

48564773280 is a wasteful number, since it uses less digits than its factorization.

48564773280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48564773280 in words is "forty-eight billion, five hundred sixty-four million, seven hundred seventy-three thousand, two hundred eighty".