48598528320 has 672 divisors, whose sum is σ = 188721187200. Its totient is φ = 11406016512.

The previous prime is 48598528283. The next prime is 48598528333. The reversal of 48598528320 is 2382589584.

It is a happy number.

48598528320 is a `hidden beast` number, since 4 + 8 + 5 + 98 + 528 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82791067 + ... + 82791653.

It is an arithmetic number, because the mean of its divisors is an integer number (280835100).

Almost surely, 2^48598528320 is an apocalyptic number.

48598528320 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 48598528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360593600).

48598528320 is an abundant number, since it is smaller than the sum of its proper divisors (140122658880).

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

48598528320 is a wasteful number, since it uses less digits than its factorization.

48598528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 48598528320 in words is "forty-eight billion, five hundred ninety-eight million, five hundred twenty-eight thousand, three hundred twenty".