48870503587584 has 3456 divisors, whose sum is σ = 195502548713472. Its totient is φ = 11845517967360.

The previous prime is 48870503587583. The next prime is 48870503587613. The reversal of 48870503587584 is 48578530507884.

48870503587584 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 0 + 5 + 0 + 35 + 8 + 7 + 584 = 666.

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

It is a super-2 number, since 2×48870503587584² (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 not an unprimeable number, because it can be changed into a prime (48870503587583) 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, 248073622174 + ... + 248073622370.

It is an arithmetic number, because the mean of its divisors is an integer number (56569024512).

Almost surely, 2^{48870503587584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48870503587584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97751274356736).

48870503587584 is an abundant number, since it is smaller than the sum of its proper divisors (146632045125888).

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

48870503587584 is a wasteful number, since it uses less digits than its factorization.

48870503587584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1204224000, while the sum is 72.

The spelling of 48870503587584 in words is "forty-eight trillion, eight hundred seventy billion, five hundred three million, five hundred eighty-seven thousand, five hundred eighty-four".