48988648800 has 576 divisors, whose sum is σ = 218071042560. Its totient is φ = 10335651840.

The previous prime is 48988648789. The next prime is 48988648817. The reversal of 48988648800 is 884688984.

It is a happy number.

It is a super-2 number, since 2×48988648800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1953139 + ... + 1978061.

It is an arithmetic number, because the mean of its divisors is an integer number (378595560).

Almost surely, 2^48988648800 is an apocalyptic number.

48988648800 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 48988648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109035521280).

48988648800 is an abundant number, since it is smaller than the sum of its proper divisors (169082393760).

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

48988648800 is a wasteful number, since it uses less digits than its factorization.

48988648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24953 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 48988648800 in words is "forty-eight billion, nine hundred eighty-eight million, six hundred forty-eight thousand, eight hundred".