48488408080000 has 320 divisors, whose sum is σ = 138397060264320. Its totient is φ = 16571082240000.

The previous prime is 48488408079989. The next prime is 48488408080009. The reversal of 48488408080000 is 8080488484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×48488408080000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48488408080000.

It is not an unprimeable number, because it can be changed into a prime (48488408080009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174020794 + ... + 174299206.

It is an arithmetic number, because the mean of its divisors is an integer number (432490813326).

Almost surely, 2^{48488408080000} is an apocalyptic number.

48488408080000 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 48488408080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69198530132160).

48488408080000 is an abundant number, since it is smaller than the sum of its proper divisors (89908652184320).

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

48488408080000 is an equidigital number, since it uses as much as digits as its factorization.

48488408080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278765 (or 278738 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 48488408080000 in words is "forty-eight trillion, four hundred eighty-eight billion, four hundred eight million, eighty thousand".