48579795364320 has 1536 divisors, whose sum is σ = 196875719147520. Its totient is φ = 11072388096000.

The previous prime is 48579795364253. The next prime is 48579795364363. The reversal of 48579795364320 is 2346359797584.

It is a happy number.

48579795364320 is a `hidden beast` number, since 4 + 8 + 5 + 79 + 7 + 95 + 36 + 432 + 0 = 666.

48579795364320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32669666617 + ... + 32669668103.

It is an arithmetic number, because the mean of its divisors is an integer number (128174296320).

Almost surely, 2^{48579795364320} is an apocalyptic number.

48579795364320 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 48579795364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98437859573760).

48579795364320 is an abundant number, since it is smaller than the sum of its proper divisors (148295923783200).

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

48579795364320 is a wasteful number, since it uses less digits than its factorization.

48579795364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 48579795364320 in words is "forty-eight trillion, five hundred seventy-nine billion, seven hundred ninety-five million, three hundred sixty-four thousand, three hundred twenty".