29189956089529 has 27 divisors (see below), whose sum is σ = 30307144596111. Its totient is φ = 28113005139120.

The previous prime is 29189956089523. The next prime is 29189956089551. The reversal of 29189956089529 is 92598065998192.

The square root of 29189956089529 is 5402773.

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., 19562265555625 + 9627690533904 = 4422925^2 + 3102852^2 .

It is not a de Polignac number, because 29189956089529 - 2¹³ = 29189956081337 is a prime.

It is a super-2 number, since 2×29189956089529² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29189956089523) 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, 66491927092 + ... + 66491927530.

It is an arithmetic number, because the mean of its divisors is an integer number (1122486836893).

Almost surely, 2^{29189956089529} is an apocalyptic number.

29189956089529 is the 5402773-rd square number.

29189956089529 is the 2701387-th centered octagonal number.

It is an amenable number.

29189956089529 is a deficient number, since it is larger than the sum of its proper divisors (1117188506582).

29189956089529 is an frugal number, since it uses more digits than its factorization.

29189956089529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 82.

The spelling of 29189956089529 in words is "twenty-nine trillion, one hundred eighty-nine billion, nine hundred fifty-six million, eighty-nine thousand, five hundred twenty-nine".