5282070393600 has 5184 divisors, whose sum is σ = 27384197299200. Its totient is φ = 978208358400.

The previous prime is 5282070393599. The next prime is 5282070393659. The reversal of 5282070393600 is 63930702825.

5282070393600 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 0 + 7 + 0 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

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 575 ways as a sum of consecutive naturals, for example, 182140358386 + ... + 182140358414.

Almost surely, 2^{5282070393600} is an apocalyptic number.

5282070393600 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 5282070393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692098649600).

5282070393600 is an abundant number, since it is smaller than the sum of its proper divisors (22102126905600).

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

5282070393600 is a wasteful number, since it uses less digits than its factorization.

5282070393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5282070393600 in words is "five trillion, two hundred eighty-two billion, seventy million, three hundred ninety-three thousand, six hundred".