5351495688900 has 243 divisors, whose sum is σ = 17378859674631. Its totient is φ = 1377338175360.

The previous prime is 5351495688881. The next prime is 5351495688919. The reversal of 5351495688900 is 98865941535.

The square root of 5351495688900 is 2313330.

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

5351495688900 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 495 + 68 + 89 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5351495688881) and next prime (5351495688919).

It can be written as a sum of positive squares in 4 ways, for example, as 73559203524 + 5277936485376 = 271218^2 + 2297376^2 .

It is a super-2 number, since 2×5351495688900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2012595771 + ... + 2012598429.

Almost surely, 2^{5351495688900} is an apocalyptic number.

5351495688900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5351495688900 is the 2313330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5351495688900

5351495688900 is an abundant number, since it is smaller than the sum of its proper divisors (12027363985731).

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

5351495688900 is a wasteful number, since it uses less digits than its factorization.

5351495688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 5351495688900 in words is "five trillion, three hundred fifty-one billion, four hundred ninety-five million, six hundred eighty-eight thousand, nine hundred".