5126688716220 has 192 divisors, whose sum is σ = 16120448668800. Its totient is φ = 1352502835200.

The previous prime is 5126688716203. The next prime is 5126688716293. The reversal of 5126688716220 is 226178866215.

5126688716220 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 6 + 8 + 8 + 7 + 1 + 622 + 0 = 666.

It is a super-3 number, since 3×5126688716220³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 69610776 + ... + 69684384.

It is an arithmetic number, because the mean of its divisors is an integer number (83960670150).

Almost surely, 2^{5126688716220} 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 5126688716220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060224334400).

5126688716220 is an abundant number, since it is smaller than the sum of its proper divisors (10993759952580).

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

5126688716220 is a wasteful number, since it uses less digits than its factorization.

5126688716220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75005 (or 74997 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5126688716220 in words is "five trillion, one hundred twenty-six billion, six hundred eighty-eight million, seven hundred sixteen thousand, two hundred twenty".