5126966181120 has 1728 divisors, whose sum is σ = 20397996944640. Its totient is φ = 1092472012800.

The previous prime is 5126966181101. The next prime is 5126966181131. The reversal of 5126966181120 is 211816696215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5126966181120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24298417815 + ... + 24298418025.

It is an arithmetic number, because the mean of its divisors is an integer number (11804396380).

Almost surely, 2^{5126966181120} 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 5126966181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198998472320).

5126966181120 is an abundant number, since it is smaller than the sum of its proper divisors (15271030763520).

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

5126966181120 is a wasteful number, since it uses less digits than its factorization.

5126966181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 5126966181120 in words is "five trillion, one hundred twenty-six billion, nine hundred sixty-six million, one hundred eighty-one thousand, one hundred twenty".