5035862482560 has 2560 divisors, whose sum is σ = 23312944005120. Its totient is φ = 1010994462720.

The previous prime is 5035862482517. The next prime is 5035862482591. The reversal of 5035862482560 is 652842685305.

5035862482560 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 8 + 624 + 8 + 2 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5035862482497 and 5035862482506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26365772065 + ... + 26365772255.

It is an arithmetic number, because the mean of its divisors is an integer number (9106618752).

Almost surely, 2^{5035862482560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035862482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656472002560).

5035862482560 is an abundant number, since it is smaller than the sum of its proper divisors (18277081522560).

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

5035862482560 is an equidigital number, since it uses as much as digits as its factorization.

5035862482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 5035862482560 in words is "five trillion, thirty-five billion, eight hundred sixty-two million, four hundred eighty-two thousand, five hundred sixty".