29161263601680 has 320 divisors, whose sum is σ = 107825283883008. Its totient is φ = 6374496522240.

The previous prime is 29161263601637. The next prime is 29161263601681. The reversal of 29161263601680 is 8610636216192.

It is not an unprimeable number, because it can be changed into a prime (29161263601681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227177677 + ... + 227306003.

Almost surely, 2^{29161263601680} is an apocalyptic number.

29161263601680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29161263601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53912641941504).

29161263601680 is an abundant number, since it is smaller than the sum of its proper divisors (78664020281328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29161263601680 is a wasteful number, since it uses less digits than its factorization.

29161263601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134254 (or 134248 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 29161263601680 in words is "twenty-nine trillion, one hundred sixty-one billion, two hundred sixty-three million, six hundred one thousand, six hundred eighty".