48282514560 has 768 divisors, whose sum is σ = 200931840000. Its totient is φ = 10924720128.

The previous prime is 48282514547. The next prime is 48282514571. The reversal of 48282514560 is 6541528284.

48282514560 is a `hidden beast` number, since 4 + 8 + 2 + 82 + 5 + 1 + 4 + 560 = 666.

48282514560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48282514560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107533216 + ... + 107533664.

It is an arithmetic number, because the mean of its divisors is an integer number (261630000).

Almost surely, 2^48282514560 is an apocalyptic number.

48282514560 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 48282514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920000).

48282514560 is an abundant number, since it is smaller than the sum of its proper divisors (152649325440).

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

48282514560 is a wasteful number, since it uses less digits than its factorization.

48282514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48282514560 in words is "forty-eight billion, two hundred eighty-two million, five hundred fourteen thousand, five hundred sixty".