48555386880 has 768 divisors, whose sum is σ = 208699545600. Its totient is φ = 9307422720.

The previous prime is 48555386843. The next prime is 48555386969. The reversal of 48555386880 is 8868355584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×48555386880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 30749931 + ... + 30751509.

It is an arithmetic number, because the mean of its divisors is an integer number (271744200).

Almost surely, 2^48555386880 is an apocalyptic number.

48555386880 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 48555386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104349772800).

48555386880 is an abundant number, since it is smaller than the sum of its proper divisors (160144158720).

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

48555386880 is a wasteful number, since it uses less digits than its factorization.

48555386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 48555386880 in words is "forty-eight billion, five hundred fifty-five million, three hundred eighty-six thousand, eight hundred eighty".