5540868749025 has 225 divisors, whose sum is σ = 10965653756013. Its totient is φ = 2765932531200.

The previous prime is 5540868748973. The next prime is 5540868749027. The reversal of 5540868749025 is 5209478680455.

The square root of 5540868749025 is 2353905.

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

5540868749025 is a `hidden beast` number, since 5 + 5 + 40 + 8 + 6 + 87 + 490 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 5249812815009 + 291055934016 = 2291247^2 + 539496^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 5540868749025 - 2²³ = 5540860360417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5540868749027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 30612534435 + ... + 30612534615.

Almost surely, 2^{5540868749025} is an apocalyptic number.

5540868749025 is the 2353905-th square number.

5540868749025 is the 1176953-rd centered octagonal number.

It is an amenable number.

5540868749025 is a deficient number, since it is larger than the sum of its proper divisors (5424785006988).

5540868749025 is an frugal number, since it uses more digits than its factorization.

5540868749025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 206 counting only the distinct ones).

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

The spelling of 5540868749025 in words is "five trillion, five hundred forty billion, eight hundred sixty-eight million, seven hundred forty-nine thousand, twenty-five".