5279224135680 has 2048 divisors, whose sum is σ = 22014726912000. Its totient is φ = 1187575234560.

The previous prime is 5279224135639. The next prime is 5279224135687. The reversal of 5279224135680 is 865314229725.

5279224135680 is a `hidden beast` number, since 5 + 2 + 79 + 2 + 2 + 4 + 1 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279224135687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59317125076 + ... + 59317125164.

It is an arithmetic number, because the mean of its divisors is an integer number (10749378375).

It is a 1-persistent number, because it is pandigital, but 2⋅5279224135680 = 10558448271360 is not.

Almost surely, 2^{5279224135680} 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 5279224135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007363456000).

5279224135680 is an abundant number, since it is smaller than the sum of its proper divisors (16735502776320).

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

5279224135680 is a wasteful number, since it uses less digits than its factorization.

5279224135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5279224135680 in words is "five trillion, two hundred seventy-nine billion, two hundred twenty-four million, one hundred thirty-five thousand, six hundred eighty".