5166837990720 has 1008 divisors, whose sum is σ = 21211422680448. Its totient is φ = 1150401208320.

The previous prime is 5166837990701. The next prime is 5166837990731. The reversal of 5166837990720 is 270997386615.

5166837990720 is a `hidden beast` number, since 51 + 6 + 68 + 379 + 90 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5166837990720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2797420837 + ... + 2797422683.

It is an arithmetic number, because the mean of its divisors is an integer number (21043078056).

Almost surely, 2^{5166837990720} 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 5166837990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605711340224).

5166837990720 is an abundant number, since it is smaller than the sum of its proper divisors (16044584689728).

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

5166837990720 is a wasteful number, since it uses less digits than its factorization.

5166837990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 5166837990720 in words is "five trillion, one hundred sixty-six billion, eight hundred thirty-seven million, nine hundred ninety thousand, seven hundred twenty".