48851177760 has 480 divisors, whose sum is σ = 214949572992. Its totient is φ = 10150686720.

The previous prime is 48851177707. The next prime is 48851177783. The reversal of 48851177760 is 6777115884.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 48851177697 and 48851177706.

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 79 ways as a sum of consecutive naturals, for example, 973444 + ... + 1022396.

Almost surely, 2^48851177760 is an apocalyptic number.

48851177760 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 48851177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107474786496).

48851177760 is an abundant number, since it is smaller than the sum of its proper divisors (166098395232).

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

48851177760 is a wasteful number, since it uses less digits than its factorization.

48851177760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48998 (or 48981 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 48851177760 in words is "forty-eight billion, eight hundred fifty-one million, one hundred seventy-seven thousand, seven hundred sixty".