55598661515401 has 27 divisors (see below), whose sum is σ = 57891549392469. Its totient is φ = 53394392927232.

The previous prime is 55598661515389. The next prime is 55598661515417. The reversal of 55598661515401 is 10451516689555.

The square root of 55598661515401 is 7456451.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5978978588025 + 49619682927376 = 2445195^2 + 7044124^2 .

It is not a de Polignac number, because 55598661515401 - 2⁷ = 55598661515273 is a prime.

It is a super-2 number, since 2×55598661515401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55598661515401.

It is not an unprimeable number, because it can be changed into a prime (55598661515101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48220868041 + ... + 48220869193.

Almost surely, 2^{55598661515401} is an apocalyptic number.

55598661515401 is the 7456451-st square number.

55598661515401 is the 3728226-th centered octagonal number.

It is an amenable number.

55598661515401 is a deficient number, since it is larger than the sum of its proper divisors (2292887877068).

55598661515401 is an frugal number, since it uses more digits than its factorization.

55598661515401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 61.

The spelling of 55598661515401 in words is "fifty-five trillion, five hundred ninety-eight billion, six hundred sixty-one million, five hundred fifteen thousand, four hundred one".