48245947557120 has 576 divisors, whose sum is σ = 172285898400000. Its totient is φ = 12784549330944.

The previous prime is 48245947556981. The next prime is 48245947557163. The reversal of 48245947557120 is 2175574954284.

48245947557120 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 59 + 4 + 7 + 5 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17005972342 + ... + 17005975178.

It is an arithmetic number, because the mean of its divisors is an integer number (299107462500).

Almost surely, 2^{48245947557120} is an apocalyptic number.

48245947557120 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 48245947557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86142949200000).

48245947557120 is an abundant number, since it is smaller than the sum of its proper divisors (124039950842880).

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

48245947557120 is a wasteful number, since it uses less digits than its factorization.

48245947557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 48245947557120 in words is "forty-eight trillion, two hundred forty-five billion, nine hundred forty-seven million, five hundred fifty-seven thousand, one hundred twenty".