5223181138560 has 1920 divisors, whose sum is σ = 24124328807040. Its totient is φ = 1064556380160.

The previous prime is 5223181138543. The next prime is 5223181138579. The reversal of 5223181138560 is 658311813225.

5223181138560 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 1 + 81 + 1 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 1480911517 + ... + 1480915043.

It is an arithmetic number, because the mean of its divisors is an integer number (12564754587).

Almost surely, 2^{5223181138560} 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 5223181138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062164403520).

5223181138560 is an abundant number, since it is smaller than the sum of its proper divisors (18901147668480).

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

5223181138560 is a wasteful number, since it uses less digits than its factorization.

5223181138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5223181138560 in words is "five trillion, two hundred twenty-three billion, one hundred eighty-one million, one hundred thirty-eight thousand, five hundred sixty".