48878528760 has 384 divisors, whose sum is σ = 169749216000. Its totient is φ = 12504146688.

The previous prime is 48878528747. The next prime is 48878528789. The reversal of 48878528760 is 6782587884.

48878528760 is a `hidden beast` number, since 48 + 8 + 7 + 8 + 528 + 7 + 60 = 666.

It is a super-2 number, since 2×48878528760² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456808627 + ... + 456808733.

It is an arithmetic number, because the mean of its divisors is an integer number (442055250).

Almost surely, 2^48878528760 is an apocalyptic number.

48878528760 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 48878528760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84874608000).

48878528760 is an abundant number, since it is smaller than the sum of its proper divisors (120870687240).

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

48878528760 is a wasteful number, since it uses less digits than its factorization.

48878528760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 48878528760 in words is "forty-eight billion, eight hundred seventy-eight million, five hundred twenty-eight thousand, seven hundred sixty".