48038095872 has 660 divisors, whose sum is σ = 163176195600. Its totient is φ = 14043414528.

The previous prime is 48038095871. The next prime is 48038095883. The reversal of 48038095872 is 27859083084.

It is a happy number.

48038095872 is a `hidden beast` number, since 480 + 3 + 8 + 0 + 95 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48038095871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 322403254 + ... + 322403402.

It is an arithmetic number, because the mean of its divisors is an integer number (247236660).

Almost surely, 2^48038095872 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 48038095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81588097800).

48038095872 is an abundant number, since it is smaller than the sum of its proper divisors (115138099728).

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

48038095872 is a wasteful number, since it uses less digits than its factorization.

48038095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48038095872 in words is "forty-eight billion, thirty-eight million, ninety-five thousand, eight hundred seventy-two".