48564384880 has 80 divisors (see below), whose sum is σ = 123335213184. Its totient is φ = 17637085440.

The previous prime is 48564384863. The next prime is 48564384887. The reversal of 48564384880 is 8848346584.

48564384880 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 (80).

It is a super-2 number, since 2×48564384880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48564384887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657499 + ... + 727621.

Almost surely, 2^48564384880 is an apocalyptic number.

48564384880 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 48564384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61667606592).

48564384880 is an abundant number, since it is smaller than the sum of its proper divisors (74770828304).

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

48564384880 is a wasteful number, since it uses less digits than its factorization.

48564384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70934 (or 70928 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 58.

The spelling of 48564384880 in words is "forty-eight billion, five hundred sixty-four million, three hundred eighty-four thousand, eight hundred eighty".