5282707248000 has 3456 divisors, whose sum is σ = 24991762723200. Its totient is φ = 1100484403200.

The previous prime is 5282707247989. The next prime is 5282707248017. The reversal of 5282707248000 is 8427072825.

5282707248000 is a `hidden beast` number, since 528 + 27 + 0 + 7 + 24 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 66869711961 + ... + 66869712039.

It is an arithmetic number, because the mean of its divisors is an integer number (7231412825).

Almost surely, 2^{5282707248000} is an apocalyptic number.

5282707248000 is a gapful number since it is divisible by the number (50) 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 5282707248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495881361600).

5282707248000 is an abundant number, since it is smaller than the sum of its proper divisors (19709055475200).

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

5282707248000 is an frugal number, since it uses more digits than its factorization.

5282707248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 5282707248000 in words is "five trillion, two hundred eighty-two billion, seven hundred seven million, two hundred forty-eight thousand".