5406582224160 has 768 divisors, whose sum is σ = 21596287910400. Its totient is φ = 1251469688832.

The previous prime is 5406582224123. The next prime is 5406582224179. The reversal of 5406582224160 is 614222856045.

5406582224160 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 5 + 8 + 222 + 416 + 0 = 666.

It is a super-2 number, since 2×5406582224160² (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 127 ways as a sum of consecutive naturals, for example, 1706083056 + ... + 1706086224.

It is an arithmetic number, because the mean of its divisors is an integer number (28120166550).

Almost surely, 2^{5406582224160} 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 5406582224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798143955200).

5406582224160 is an abundant number, since it is smaller than the sum of its proper divisors (16189705686240).

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

5406582224160 is a wasteful number, since it uses less digits than its factorization.

5406582224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5406582224160 in words is "five trillion, four hundred six billion, five hundred eighty-two million, two hundred twenty-four thousand, one hundred sixty".