48781024000 has 144 divisors (see below), whose sum is σ = 128669276736. Its totient is φ = 18364416000.

The previous prime is 48781023997. The next prime is 48781024013. The reversal of 48781024000 is 42018784.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 499165 + ... + 588835.

It is an arithmetic number, because the mean of its divisors is an integer number (893536644).

Almost surely, 2^48781024000 is an apocalyptic number.

48781024000 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 48781024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64334638368).

48781024000 is an abundant number, since it is smaller than the sum of its proper divisors (79888252736).

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

48781024000 is an equidigital number, since it uses as much as digits as its factorization.

48781024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89719 (or 89695 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 48781024000 in words is "forty-eight billion, seven hundred eighty-one million, twenty-four thousand".