5615207009280 has 528 divisors, whose sum is σ = 21542249124864. Its totient is φ = 1340936847360.

The previous prime is 5615207009257. The next prime is 5615207009329. The reversal of 5615207009280 is 829007025165.

5615207009280 is a `hidden beast` number, since 5 + 615 + 2 + 0 + 7 + 0 + 0 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×5615207009280² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33878289 + ... + 34043631.

Almost surely, 2^{5615207009280} 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 5615207009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771124562432).

5615207009280 is an abundant number, since it is smaller than the sum of its proper divisors (15927042115584).

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

5615207009280 is a wasteful number, since it uses less digits than its factorization.

5615207009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165452 (or 165431 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5615207009280 in words is "five trillion, six hundred fifteen billion, two hundred seven million, nine thousand, two hundred eighty".