5579253630720 has 1152 divisors, whose sum is σ = 24997367808000. Its totient is φ = 1144607293440.

The previous prime is 5579253630659. The next prime is 5579253630733. The reversal of 5579253630720 is 270363529755.

5579253630720 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 2 + 536 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5579253630720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 210215211 + ... + 210241749.

It is an arithmetic number, because the mean of its divisors is an integer number (21699104000).

Almost surely, 2^{5579253630720} 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 5579253630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498683904000).

5579253630720 is an abundant number, since it is smaller than the sum of its proper divisors (19418114177280).

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

5579253630720 is a wasteful number, since it uses less digits than its factorization.

5579253630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26666 (or 26646 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 5579253630720 in words is "five trillion, five hundred seventy-nine billion, two hundred fifty-three million, six hundred thirty thousand, seven hundred twenty".