48172320000 has 1260 divisors, whose sum is σ = 209379102240. Its totient is φ = 10824192000.

The previous prime is 48172319983. The next prime is 48172320043. The reversal of 48172320000 is 2327184.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-3 number, since 3×48172320000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 816479971 + ... + 816480029.

Almost surely, 2^48172320000 is an apocalyptic number.

48172320000 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 48172320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689551120).

48172320000 is an abundant number, since it is smaller than the sum of its proper divisors (161206782240).

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

48172320000 is an frugal number, since it uses more digits than its factorization.

48172320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 48172320000 its reverse (2327184), we get a palindrome (48174647184).

The spelling of 48172320000 in words is "forty-eight billion, one hundred seventy-two million, three hundred twenty thousand".