29129978145753 has 24 divisors (see below), whose sum is σ = 42511038658088. Its totient is φ = 19219497357312.

The previous prime is 29129978145739. The next prime is 29129978145769. The reversal of 29129978145753 is 35754187992192.

It is a happy number.

29129978145753 is a `hidden beast` number, since 2 + 9 + 1 + 2 + 9 + 97 + 81 + 457 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1118331630144 + 28011646515609 = 1057512^2 + 5292603^2 .

It is not a de Polignac number, because 29129978145753 - 2⁹ = 29129978145241 is a prime.

It is a super-2 number, since 2×29129978145753² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29129978145953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71222325 + ... + 71630157.

Almost surely, 2^{29129978145753} is an apocalyptic number.

It is an amenable number.

29129978145753 is a deficient number, since it is larger than the sum of its proper divisors (13381060512335).

29129978145753 is a wasteful number, since it uses less digits than its factorization.

29129978145753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489753 (or 489750 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 29129978145753 in words is "twenty-nine trillion, one hundred twenty-nine billion, nine hundred seventy-eight million, one hundred forty-five thousand, seven hundred fifty-three".