5126040133776 has 225 divisors, whose sum is σ = 15098095781769. Its totient is φ = 1679038761600.

The previous prime is 5126040133679. The next prime is 5126040133789. The reversal of 5126040133776 is 6773310406215.

The square root of 5126040133776 is 2264076.

It is a perfect power (a square), and thus also a powerful number.

5126040133776 is a `hidden beast` number, since 5 + 1 + 2 + 604 + 0 + 1 + 3 + 37 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166689292176 + 4959350841600 = 408276^2 + 2226960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4971910381 + ... + 4971911411.

Almost surely, 2^{5126040133776} is an apocalyptic number.

5126040133776 is the 2264076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126040133776

5126040133776 is an abundant number, since it is smaller than the sum of its proper divisors (9972055647993).

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

5126040133776 is an frugal number, since it uses more digits than its factorization.

5126040133776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 5126040133776 in words is "five trillion, one hundred twenty-six billion, forty million, one hundred thirty-three thousand, seven hundred seventy-six".