48124202686560 has 3072 divisors, whose sum is σ = 232796519424000. Its totient is φ = 9225698549760.

The previous prime is 48124202686543. The next prime is 48124202686597. The reversal of 48124202686560 is 6568620242184.

48124202686560 is a `hidden beast` number, since 4 + 8 + 12 + 4 + 2 + 0 + 2 + 68 + 6 + 560 = 666.

It is a super-3 number, since 3×48124202686560³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48124202686497 and 48124202686506.

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 25638892342 + ... + 25638894218.

It is an arithmetic number, because the mean of its divisors is an integer number (75780117000).

Almost surely, 2^{48124202686560} is an apocalyptic number.

48124202686560 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 48124202686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116398259712000).

48124202686560 is an abundant number, since it is smaller than the sum of its proper divisors (184672316737440).

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

48124202686560 is a wasteful number, since it uses less digits than its factorization.

48124202686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 48124202686560 in words is "forty-eight trillion, one hundred twenty-four billion, two hundred two million, six hundred eighty-six thousand, five hundred sixty".