48022476821760 has 576 divisors, whose sum is σ = 178070360186880. Its totient is φ = 10802847744000.

The previous prime is 48022476821747. The next prime is 48022476821819. The reversal of 48022476821760 is 6712867422084.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48022476821760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664625635 + ... + 664697885.

It is an arithmetic number, because the mean of its divisors is an integer number (309149930880).

Almost surely, 2^{48022476821760} is an apocalyptic number.

48022476821760 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 48022476821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89035180093440).

48022476821760 is an abundant number, since it is smaller than the sum of its proper divisors (130047883365120).

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

48022476821760 is a wasteful number, since it uses less digits than its factorization.

48022476821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72674 (or 72660 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 48022476821760 in words is "forty-eight trillion, twenty-two billion, four hundred seventy-six million, eight hundred twenty-one thousand, seven hundred sixty".