48719818080 has 576 divisors, whose sum is σ = 180696821760. Its totient is φ = 11920601088.

The previous prime is 48719818079. The next prime is 48719818087. The reversal of 48719818080 is 8081891784.

It is a happy number.

48719818080 is a `hidden beast` number, since 487 + 1 + 9 + 8 + 1 + 80 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48719818087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101711281 + ... + 101711759.

It is an arithmetic number, because the mean of its divisors is an integer number (313709760).

Almost surely, 2^48719818080 is an apocalyptic number.

48719818080 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 48719818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90348410880).

48719818080 is an abundant number, since it is smaller than the sum of its proper divisors (131977003680).

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

48719818080 is a wasteful number, since it uses less digits than its factorization.

48719818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 48719818080 in words is "forty-eight billion, seven hundred nineteen million, eight hundred eighteen thousand, eighty".