48780480000 has 1200 divisors, whose sum is σ = 203294537424. Its totient is φ = 10321920000.

The previous prime is 48780479971. The next prime is 48780480013. The reversal of 48780480000 is 8408784.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 799679970 + ... + 799680030.

Almost surely, 2^48780480000 is an apocalyptic number.

48780480000 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 48780480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101647268712).

48780480000 is an abundant number, since it is smaller than the sum of its proper divisors (154514057424).

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

48780480000 is an equidigital number, since it uses as much as digits as its factorization.

48780480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

Adding to 48780480000 its reverse (8408784), we get a palindrome (48788888784).

The spelling of 48780480000 in words is "forty-eight billion, seven hundred eighty million, four hundred eighty thousand".