48931879680 has 504 divisors, whose sum is σ = 180157178880. Its totient is φ = 12720291840.

The previous prime is 48931879609. The next prime is 48931879697. The reversal of 48931879680 is 8697813984.

48931879680 is a `hidden beast` number, since 489 + 3 + 1 + 8 + 79 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38257281 + ... + 38258559.

It is an arithmetic number, because the mean of its divisors is an integer number (357454720).

Almost surely, 2^48931879680 is an apocalyptic number.

48931879680 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 48931879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90078589440).

48931879680 is an abundant number, since it is smaller than the sum of its proper divisors (131225299200).

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

48931879680 is an equidigital number, since it uses as much as digits as its factorization.

48931879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 48931879680 in words is "forty-eight billion, nine hundred thirty-one million, eight hundred seventy-nine thousand, six hundred eighty".