29779383788401 has 27 divisors (see below), whose sum is σ = 33711132886347. Its totient is φ = 26292062082000.

The previous prime is 29779383788387. The next prime is 29779383788477. The reversal of 29779383788401 is 10488738397792.

The square root of 29779383788401 is 5457049.

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., 4405234288225 + 25374149500176 = 2098865^2 + 5037276^2 .

It is not a de Polignac number, because 29779383788401 - 2⁵ = 29779383788369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29779383780401) 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, 1631648526 + ... + 1631666776.

Almost surely, 2^{29779383788401} is an apocalyptic number.

29779383788401 is the 5457049-th square number.

29779383788401 is the 2728525-th centered octagonal number.

It is an amenable number.

29779383788401 is a deficient number, since it is larger than the sum of its proper divisors (3931749097946).

29779383788401 is an frugal number, since it uses more digits than its factorization.

29779383788401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36574 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 76.

The spelling of 29779383788401 in words is "twenty-nine trillion, seven hundred seventy-nine billion, three hundred eighty-three million, seven hundred eighty-eight thousand, four hundred one".