48816578880 has 224 divisors, whose sum is σ = 172835498880. Its totient is φ = 12970782720.

The previous prime is 48816578857. The next prime is 48816578891. The reversal of 48816578880 is 8887561884.

48816578880 is a `hidden beast` number, since 48 + 8 + 16 + 578 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417787 + ... + 2437893.

Almost surely, 2^48816578880 is an apocalyptic number.

48816578880 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 48816578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86417749440).

48816578880 is an abundant number, since it is smaller than the sum of its proper divisors (124018920000).

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

48816578880 is a wasteful number, since it uses less digits than its factorization.

48816578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20414 (or 20398 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 48816578880 in words is "forty-eight billion, eight hundred sixteen million, five hundred seventy-eight thousand, eight hundred eighty".