48395867520 has 1024 divisors, whose sum is σ = 209744640000. Its totient is φ = 9220423680.

The previous prime is 48395867491. The next prime is 48395867557. The reversal of 48395867520 is 2576859384.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324804406 + ... + 324804554.

It is an arithmetic number, because the mean of its divisors is an integer number (204828750).

Almost surely, 2^48395867520 is an apocalyptic number.

48395867520 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 48395867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320000).

48395867520 is an abundant number, since it is smaller than the sum of its proper divisors (161348772480).

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

48395867520 is a wasteful number, since it uses less digits than its factorization.

48395867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 48395867520 in words is "forty-eight billion, three hundred ninety-five million, eight hundred sixty-seven thousand, five hundred twenty".