5027567613120 has 2016 divisors, whose sum is σ = 20920772081664. Its totient is φ = 1096931082240.

The previous prime is 5027567613109. The next prime is 5027567613143. The reversal of 5027567613120 is 213167657205.

It is a happy number.

5027567613120 is a `hidden beast` number, since 5 + 0 + 2 + 7 + 5 + 6 + 7 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×5027567613120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39587146497 + ... + 39587146623.

It is an arithmetic number, because the mean of its divisors is an integer number (10377367104).

Almost surely, 2^{5027567613120} 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 5027567613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460386040832).

5027567613120 is an abundant number, since it is smaller than the sum of its proper divisors (15893204468544).

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

5027567613120 is a wasteful number, since it uses less digits than its factorization.

5027567613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 5027567613120 in words is "five trillion, twenty-seven billion, five hundred sixty-seven million, six hundred thirteen thousand, one hundred twenty".