48517187587200 has 768 divisors, whose sum is σ = 187056558864000. Its totient is φ = 12247013376000.

The previous prime is 48517187587129. The next prime is 48517187587201. The reversal of 48517187587200 is 278578171584.

48517187587200 is a `hidden beast` number, since 4 + 8 + 5 + 17 + 18 + 7 + 587 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (48517187587201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2135710242 + ... + 2135732958.

Almost surely, 2^{48517187587200} is an apocalyptic number.

48517187587200 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 48517187587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93528279432000).

48517187587200 is an abundant number, since it is smaller than the sum of its proper divisors (138539371276800).

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

48517187587200 is a wasteful number, since it uses less digits than its factorization.

48517187587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070 (or 24047 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 63.

The spelling of 48517187587200 in words is "forty-eight trillion, five hundred seventeen billion, one hundred eighty-seven million, five hundred eighty-seven thousand, two hundred".