48875980608 has 1260 divisors, whose sum is σ = 196230381732. Its totient is φ = 11914076160.

The previous prime is 48875980597. The next prime is 48875980631. The reversal of 48875980608 is 80608957884.

48875980608 is a `hidden beast` number, since 488 + 7 + 5 + 98 + 0 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4493289024 + 44382691584 = 67032^2 + 210672^2 .

It is a super-2 number, since 2×48875980608² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1192097068 + ... + 1192097108.

Almost surely, 2^48875980608 is an apocalyptic number.

48875980608 is a gapful number since it is divisible by the number (48) 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 48875980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98115190866).

48875980608 is an abundant number, since it is smaller than the sum of its proper divisors (147354401124).

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

48875980608 is a wasteful number, since it uses less digits than its factorization.

48875980608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 48875980608 in words is "forty-eight billion, eight hundred seventy-five million, nine hundred eighty thousand, six hundred eight".