5626266315120 has 1440 divisors, whose sum is σ = 22275658641600. Its totient is φ = 1269162639360.

The previous prime is 5626266315107. The next prime is 5626266315251. The reversal of 5626266315120 is 215136626265.

5626266315120 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 2 + 6 + 631 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×5626266315120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12993686424 + ... + 12993686856.

It is an arithmetic number, because the mean of its divisors is an integer number (15469207390).

Almost surely, 2^{5626266315120} 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 5626266315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137829320800).

5626266315120 is an abundant number, since it is smaller than the sum of its proper divisors (16649392326480).

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

5626266315120 is a wasteful number, since it uses less digits than its factorization.

5626266315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5626266315120 in words is "five trillion, six hundred twenty-six billion, two hundred sixty-six million, three hundred fifteen thousand, one hundred twenty".