5416022568960 has 936 divisors, whose sum is σ = 20649740479056. Its totient is φ = 1358742159360.

The previous prime is 5416022568947. The next prime is 5416022568973. The reversal of 5416022568960 is 698652206145.

5416022568960 is a `hidden beast` number, since 5 + 4 + 1 + 602 + 25 + 6 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5416022568947) and next prime (5416022568973).

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 = 5416022568897 and 5416022568906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2284276575 + ... + 2284278945.

It is an arithmetic number, because the mean of its divisors is an integer number (22061688546).

Almost surely, 2^{5416022568960} 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 5416022568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324870239528).

5416022568960 is an abundant number, since it is smaller than the sum of its proper divisors (15233717910096).

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

5416022568960 is an frugal number, since it uses more digits than its factorization.

5416022568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5416022568960 in words is "five trillion, four hundred sixteen billion, twenty-two million, five hundred sixty-eight thousand, nine hundred sixty".