5126576652288 has 1920 divisors, whose sum is σ = 20081714688000. Its totient is φ = 1281833828352.

The previous prime is 5126576652283. The next prime is 5126576652349. The reversal of 5126576652288 is 8822566756215.

5126576652288 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 576 + 6 + 52 + 2 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126576652283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45367934920 + ... + 45367935032.

It is an arithmetic number, because the mean of its divisors is an integer number (10459226400).

Almost surely, 2^{5126576652288} 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 5126576652288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040857344000).

5126576652288 is an abundant number, since it is smaller than the sum of its proper divisors (14955138035712).

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

5126576652288 is a wasteful number, since it uses less digits than its factorization.

5126576652288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 5126576652288 in words is "five trillion, one hundred twenty-six billion, five hundred seventy-six million, six hundred fifty-two thousand, two hundred eighty-eight".