29752130168401 has 16 divisors (see below), whose sum is σ = 31917211133184. Its totient is φ = 27661239993024.

The previous prime is 29752130168381. The next prime is 29752130168413. The reversal of 29752130168401 is 10486103125792.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 29752130168401 - 2⁷ = 29752130168273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29752130168801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16946466 + ... + 18619531.

It is an arithmetic number, because the mean of its divisors is an integer number (1994825695824).

It is a 1-persistent number, because it is pandigital, but 2⋅29752130168401 = 59504260336802 is not.

Almost surely, 2^{29752130168401} is an apocalyptic number.

It is an amenable number.

29752130168401 is a deficient number, since it is larger than the sum of its proper divisors (2165080964783).

29752130168401 is a wasteful number, since it uses less digits than its factorization.

29752130168401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35567040.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 29752130168401 in words is "twenty-nine trillion, seven hundred fifty-two billion, one hundred thirty million, one hundred sixty-eight thousand, four hundred one".