48173289840 has 640 divisors, whose sum is σ = 184248207360. Its totient is φ = 11496038400.

The previous prime is 48173289839. The next prime is 48173289907. The reversal of 48173289840 is 4898237184.

It is a happy number.

48173289840 is a `hidden beast` number, since 481 + 7 + 3 + 2 + 89 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145538475 + ... + 145538805.

It is an arithmetic number, because the mean of its divisors is an integer number (287887824).

Almost surely, 2^48173289840 is an apocalyptic number.

48173289840 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 48173289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92124103680).

48173289840 is an abundant number, since it is smaller than the sum of its proper divisors (136074917520).

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

48173289840 is a wasteful number, since it uses less digits than its factorization.

48173289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48173289840 in words is "forty-eight billion, one hundred seventy-three million, two hundred eighty-nine thousand, eight hundred forty".