48759331234320 has 960 divisors, whose sum is σ = 215309007912960. Its totient is φ = 9616759603200.

The previous prime is 48759331234307. The next prime is 48759331234363. The reversal of 48759331234320 is 2343213395784.

48759331234320 is a `hidden beast` number, since 4 + 8 + 7 + 59 + 3 + 31 + 234 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49982425 + ... + 50948615.

It is an arithmetic number, because the mean of its divisors is an integer number (224280216576).

Almost surely, 2^{48759331234320} is an apocalyptic number.

48759331234320 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 48759331234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107654503956480).

48759331234320 is an abundant number, since it is smaller than the sum of its proper divisors (166549676678640).

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

48759331234320 is a wasteful number, since it uses less digits than its factorization.

48759331234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966284 (or 966275 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 48759331234320 in words is "forty-eight trillion, seven hundred fifty-nine billion, three hundred thirty-one million, two hundred thirty-four thousand, three hundred twenty".