11552677559929 has 27 divisors (see below), whose sum is σ = 12772511190957. Its totient is φ = 10441491456000.

The previous prime is 11552677559921. The next prime is 11552677559999. The reversal of 11552677559929 is 92995577625511.

It is a happy number.

The square root of 11552677559929 is 3398923.

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 2319879303225 + 9232798256704 = 1523115^2 + 3038552^2 .

It is not a de Polignac number, because 11552677559929 - 2³ = 11552677559921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11552677559921) 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, 7215912729 + ... + 7215914329.

Almost surely, 2^{11552677559929} is an apocalyptic number.

11552677559929 is the 3398923-rd square number.

11552677559929 is the 1699462-nd centered octagonal number.

It is an amenable number.

11552677559929 is a deficient number, since it is larger than the sum of its proper divisors (1219833631028).

11552677559929 is an frugal number, since it uses more digits than its factorization.

11552677559929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 1805 counting only the distinct ones).

The product of its digits is 535815000, while the sum is 73.

The spelling of 11552677559929 in words is "eleven trillion, five hundred fifty-two billion, six hundred seventy-seven million, five hundred fifty-nine thousand, nine hundred twenty-nine".