48308427672960 has 1536 divisors, whose sum is σ = 196876633605120. Its totient is φ = 9984413859840.

The previous prime is 48308427672907. The next prime is 48308427672971. The reversal of 48308427672960 is 6927672480384.

It is a junction number, because it is equal to n+sod(n) for n = 48308427672891 and 48308427672900.

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, 14154240214 + ... + 14154243626.

It is an arithmetic number, because the mean of its divisors is an integer number (128174891670).

Almost surely, 2^{48308427672960} is an apocalyptic number.

48308427672960 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 48308427672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98438316802560).

48308427672960 is an abundant number, since it is smaller than the sum of its proper divisors (148568205932160).

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

48308427672960 is a wasteful number, since it uses less digits than its factorization.

48308427672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 48308427672960 in words is "forty-eight trillion, three hundred eight billion, four hundred twenty-seven million, six hundred seventy-two thousand, nine hundred sixty".