48202026808320 has 3696 divisors, whose sum is σ = 221678002721280. Its totient is φ = 9837981204480.

The previous prime is 48202026808319. The next prime is 48202026808361. The reversal of 48202026808320 is 2380862020284.

48202026808320 is a `hidden beast` number, since 48 + 2 + 0 + 20 + 268 + 0 + 8 + 320 = 666.

48202026808320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 249751434144 + ... + 249751434336.

Almost surely, 2^{48202026808320} is an apocalyptic number.

48202026808320 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 48202026808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110839001360640).

48202026808320 is an abundant number, since it is smaller than the sum of its proper divisors (173475975912960).

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

48202026808320 is a wasteful number, since it uses less digits than its factorization.

48202026808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48202026808320 in words is "forty-eight trillion, two hundred two billion, twenty-six million, eight hundred eight thousand, three hundred twenty".