29977782188809 has 27 divisors (see below), whose sum is σ = 37761555762567. Its totient is φ = 23718290594544.

The previous prime is 29977782188801. The next prime is 29977782188843. The reversal of 29977782188809 is 90888128777992.

It is a happy number.

The square root of 29977782188809 is 5475197.

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

It can be written as a sum of positive squares in only one way, i.e., 4434583164025 + 25543199024784 = 2105845^2 + 5054028^2 .

It is not a de Polignac number, because 29977782188809 - 2³ = 29977782188801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29977782188801) 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, 498212844 + ... + 498273010.

Almost surely, 2^{29977782188809} is an apocalyptic number.

29977782188809 is the 5475197-th square number.

29977782188809 is the 2737599-th centered octagonal number.

It is an amenable number.

29977782188809 is a deficient number, since it is larger than the sum of its proper divisors (7783773573758).

29977782188809 is an frugal number, since it uses more digits than its factorization.

29977782188809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120374 (or 60187 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 85.

The spelling of 29977782188809 in words is "twenty-nine trillion, nine hundred seventy-seven billion, seven hundred eighty-two million, one hundred eighty-eight thousand, eight hundred nine".