48588556800 has 1200 divisors, whose sum is σ = 204659972352. Its totient is φ = 10115481600.

The previous prime is 48588556777. The next prime is 48588556801. The reversal of 48588556800 is 865588584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (48588556801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1567372785 + ... + 1567372815.

Almost surely, 2^48588556800 is an apocalyptic number.

48588556800 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 48588556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102329986176).

48588556800 is an abundant number, since it is smaller than the sum of its proper divisors (156071415552).

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

48588556800 is an equidigital number, since it uses as much as digits as its factorization.

48588556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 57.

It can be divided in two parts, 4858 and 8556800, that added together give a palindrome (8561658).

The spelling of 48588556800 in words is "forty-eight billion, five hundred eighty-eight million, five hundred fifty-six thousand, eight hundred".