48738471724800 has 3456 divisors, whose sum is σ = 218361873945600. Its totient is φ = 10478813184000.

The previous prime is 48738471724799. The next prime is 48738471724801. The reversal of 48738471724800 is 842717483784.

48738471724800 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 84 + 7 + 1 + 72 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48738471724799) and next prime (48738471724801).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48738471724801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73958226871 + ... + 73958227529.

It is an arithmetic number, because the mean of its divisors is an integer number (63183412600).

Almost surely, 2^{48738471724800} is an apocalyptic number.

48738471724800 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 48738471724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109180936972800).

48738471724800 is an abundant number, since it is smaller than the sum of its proper divisors (169623402220800).

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

48738471724800 is a wasteful number, since it uses less digits than its factorization.

48738471724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 48738471724800 in words is "forty-eight trillion, seven hundred thirty-eight billion, four hundred seventy-one million, seven hundred twenty-four thousand, eight hundred".