48131617920 has 256 divisors, whose sum is σ = 160750759680. Its totient is φ = 12226396160.

The previous prime is 48131617907. The next prime is 48131617949. The reversal of 48131617920 is 2971613184.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11347000 + ... + 11351240.

It is an arithmetic number, because the mean of its divisors is an integer number (627932655).

Almost surely, 2^48131617920 is an apocalyptic number.

48131617920 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 48131617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80375379840).

48131617920 is an abundant number, since it is smaller than the sum of its proper divisors (112619141760).

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

48131617920 is a wasteful number, since it uses less digits than its factorization.

48131617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 48131617920 in words is "forty-eight billion, one hundred thirty-one million, six hundred seventeen thousand, nine hundred twenty".