48290816818080 has 240 divisors, whose sum is σ = 170510928283080. Its totient is φ = 12871159676928.

The previous prime is 48290816818073. The next prime is 48290816818117. The reversal of 48290816818080 is 8081861809284.

48290816818080 is a `hidden beast` number, since 4 + 8 + 290 + 8 + 168 + 180 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47292743888784 + 998072929296 = 6876972^2 + 999036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 48290816817999 and 48290816818017.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25216636 + ... + 27064004.

Almost surely, 2^{48290816818080} is an apocalyptic number.

48290816818080 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 48290816818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85255464141540).

48290816818080 is an abundant number, since it is smaller than the sum of its proper divisors (122220111465000).

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

48290816818080 is a wasteful number, since it uses less digits than its factorization.

48290816818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849413 (or 1849396 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 48290816818080 in words is "forty-eight trillion, two hundred ninety billion, eight hundred sixteen million, eight hundred eighteen thousand, eighty".