6128719140625 has 81 divisors (see below), whose sum is σ = 8173121303641. Its totient is φ = 4594760000000.

The previous prime is 6128719140623. The next prime is 6128719140647. The reversal of 6128719140625 is 5260419178216.

The square root of 6128719140625 is 2475625.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1897404316369 + 4231314824256 = 1377463^2 + 2057016^2 .

It is not a de Polignac number, because 6128719140625 - 2¹ = 6128719140623 is a prime.

It is a super-2 number, since 2×6128719140625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6128719140623) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26303515509 + ... + 26303515741.

Almost surely, 2^{6128719140625} is an apocalyptic number.

6128719140625 is the 2475625-th square number.

6128719140625 is the 1237813-rd centered octagonal number.

It is an amenable number.

6128719140625 is a deficient number, since it is larger than the sum of its proper divisors (2044402163016).

6128719140625 is an frugal number, since it uses more digits than its factorization.

6128719140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 6128719140625 in words is "six trillion, one hundred twenty-eight billion, seven hundred nineteen million, one hundred forty thousand, six hundred twenty-five".