6896138602500 has 1215 divisors, whose sum is σ = 26405165910123. Its totient is φ = 1512604800000.

The previous prime is 6896138602489. The next prime is 6896138602523. The reversal of 6896138602500 is 52068316986.

It is a happy number.

The square root of 6896138602500 is 2626050.

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

6896138602500 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 1 + 386 + 0 + 250 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 96936331716 + 6799202270784 = 311346^2 + 2607528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 113051452470 + ... + 113051452530.

Almost surely, 2^{6896138602500} is an apocalyptic number.

6896138602500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6896138602500 is the 2626050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6896138602500

6896138602500 is an abundant number, since it is smaller than the sum of its proper divisors (19509027307623).

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

6896138602500 is a wasteful number, since it uses less digits than its factorization.

6896138602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6896138602500 in words is "six trillion, eight hundred ninety-six billion, one hundred thirty-eight million, six hundred two thousand, five hundred".