29132145020160 has 1080 divisors, whose sum is σ = 130586847924456. Its totient is φ = 6146548531200.

The previous prime is 29132145020159. The next prime is 29132145020183. The reversal of 29132145020160 is 6102054123192.

29132145020160 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 21 + 450 + 20 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256052192256 + 28876092827904 = 506016^2 + 5373648^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65823610 + ... + 66264710.

Almost surely, 2^{29132145020160} is an apocalyptic number.

29132145020160 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 29132145020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65293423962228).

29132145020160 is an abundant number, since it is smaller than the sum of its proper divisors (101454702904296).

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

29132145020160 is a wasteful number, since it uses less digits than its factorization.

29132145020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441161 (or 441131 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 29132145020160 in words is "twenty-nine trillion, one hundred thirty-two billion, one hundred forty-five million, twenty thousand, one hundred sixty".