59400900729 has 27 divisors (see below), whose sum is σ = 86578159213. Its totient is φ = 39245252352.

The previous prime is 59400900707. The next prime is 59400900733. The reversal of 59400900729 is 92700900495.

The square root of 59400900729 is 243723.

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

59400900729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2432758329 + 56968142400 = 49323^2 + 238680^2 .

It is not a de Polignac number, because 59400900729 - 2¹¹ = 59400898681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59400500729) 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, 100169857 + ... + 100170449.

Almost surely, 2^59400900729 is an apocalyptic number.

59400900729 is the 243723-rd square number.

59400900729 is the 121862-nd centered octagonal number.

It is an amenable number.

59400900729 is a deficient number, since it is larger than the sum of its proper divisors (27177258484).

59400900729 is an frugal number, since it uses more digits than its factorization.

59400900729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 59400900729 in words is "fifty-nine billion, four hundred million, nine hundred thousand, seven hundred twenty-nine".