48677717880 has 320 divisors, whose sum is σ = 178845511680. Its totient is φ = 11776838400.

The previous prime is 48677717863. The next prime is 48677717929. The reversal of 48677717880 is 8871777684.

48677717880 is a `hidden beast` number, since 486 + 7 + 7 + 7 + 1 + 78 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23058025 + ... + 23060135.

It is an arithmetic number, because the mean of its divisors is an integer number (558892224).

Almost surely, 2^48677717880 is an apocalyptic number.

48677717880 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 48677717880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89422755840).

48677717880 is an abundant number, since it is smaller than the sum of its proper divisors (130167793800).

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

48677717880 is a wasteful number, since it uses less digits than its factorization.

48677717880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 63.

The spelling of 48677717880 in words is "forty-eight billion, six hundred seventy-seven million, seven hundred seventeen thousand, eight hundred eighty".