48880488928800 has 288 divisors, whose sum is σ = 161820962170560. Its totient is φ = 12812422348800.

The previous prime is 48880488928757. The next prime is 48880488928811. The reversal of 48880488928800 is 882988408884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930420140 + ... + 1930445460.

It is an arithmetic number, because the mean of its divisors is an integer number (561878340870).

Almost surely, 2^{48880488928800} is an apocalyptic number.

48880488928800 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 48880488928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80910481085280).

48880488928800 is an abundant number, since it is smaller than the sum of its proper divisors (112940473241760).

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

48880488928800 is a wasteful number, since it uses less digits than its factorization.

48880488928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39036 (or 39023 counting only the distinct ones).

The product of its (nonzero) digits is 603979776, while the sum is 75.

The spelling of 48880488928800 in words is "forty-eight trillion, eight hundred eighty billion, four hundred eighty-eight million, nine hundred twenty-eight thousand, eight hundred".