5623405964176 has 1080 divisors, whose sum is σ = 16349546062080. Its totient is φ = 1858696519680.

The previous prime is 5623405964171. The next prime is 5623405964177. The reversal of 5623405964176 is 6714695043265.

It is a self number, because there is not a number n which added to its sum of digits gives 5623405964176.

It is not an unprimeable number, because it can be changed into a prime (5623405964171) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12809580565 + ... + 12809581003.

It is an arithmetic number, because the mean of its divisors is an integer number (15138468576).

Almost surely, 2^{5623405964176} is an apocalyptic number.

5623405964176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5623405964176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174773031040).

5623405964176 is an abundant number, since it is smaller than the sum of its proper divisors (10726140097904).

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

5623405964176 is a wasteful number, since it uses less digits than its factorization.

5623405964176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 5623405964176 in words is "five trillion, six hundred twenty-three billion, four hundred five million, nine hundred sixty-four thousand, one hundred seventy-six".