29143057211136 has 864 divisors, whose sum is σ = 98373625459200. Its totient is φ = 8199485521920.

The previous prime is 29143057211129. The next prime is 29143057211141. The reversal of 29143057211136 is 63111275034192.

29143057211136 is a `hidden beast` number, since 2 + 9 + 1 + 4 + 30 + 572 + 1 + 11 + 36 = 666.

It is a super-2 number, since 2×29143057211136² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29143057211091 and 29143057211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31711704885 + ... + 31711705803.

It is an arithmetic number, because the mean of its divisors is an integer number (113858362800).

Almost surely, 2^{29143057211136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29143057211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49186812729600).

29143057211136 is an abundant number, since it is smaller than the sum of its proper divisors (69230568248064).

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

29143057211136 is a wasteful number, since it uses less digits than its factorization.

29143057211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29143057211136 in words is "twenty-nine trillion, one hundred forty-three billion, fifty-seven million, two hundred eleven thousand, one hundred thirty-six".