48199887859200 has 1920 divisors, whose sum is σ = 206420881075200. Its totient is φ = 9825022771200.

The previous prime is 48199887859183. The next prime is 48199887859213. The reversal of 48199887859200 is 295878899184.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7678806462 + ... + 7678812738.

It is an arithmetic number, because the mean of its divisors is an integer number (107510875560).

Almost surely, 2^{48199887859200} is an apocalyptic number.

48199887859200 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 48199887859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103210440537600).

48199887859200 is an abundant number, since it is smaller than the sum of its proper divisors (158220993216000).

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

48199887859200 is a wasteful number, since it uses less digits than its factorization.

48199887859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 78.

The spelling of 48199887859200 in words is "forty-eight trillion, one hundred ninety-nine billion, eight hundred eighty-seven million, eight hundred fifty-nine thousand, two hundred".