48825782460 has 576 divisors, whose sum is σ = 187858944000. Its totient is φ = 10199250432.

The previous prime is 48825782377. The next prime is 48825782521. The reversal of 48825782460 is 6428752884.

48825782460 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 578 + 2 + 4 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48825782397 and 48825782406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101932501 + ... + 101932979.

It is an arithmetic number, because the mean of its divisors is an integer number (326144000).

Almost surely, 2^48825782460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48825782460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472000).

48825782460 is an abundant number, since it is smaller than the sum of its proper divisors (139033161540).

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

48825782460 is a wasteful number, since it uses less digits than its factorization.

48825782460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 48825782460 in words is "forty-eight billion, eight hundred twenty-five million, seven hundred eighty-two thousand, four hundred sixty".