48168079948800 has 1584 divisors, whose sum is σ = 208752468367872. Its totient is φ = 10373441126400.

The previous prime is 48168079948787. The next prime is 48168079948837. The reversal of 48168079948800 is 884997086184.

It is a happy number.

48168079948800 is a `hidden beast` number, since 4 + 81 + 68 + 0 + 7 + 9 + 9 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×48168079948800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2485315110 + ... + 2485334490.

Almost surely, 2^{48168079948800} is an apocalyptic number.

48168079948800 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 48168079948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104376234183936).

48168079948800 is an abundant number, since it is smaller than the sum of its proper divisors (160584388419072).

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

48168079948800 is a wasteful number, since it uses less digits than its factorization.

48168079948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19514 (or 19488 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 48168079948800 in words is "forty-eight trillion, one hundred sixty-eight billion, seventy-nine million, nine hundred forty-eight thousand, eight hundred".