29128196160 has 672 divisors, whose sum is σ = 120888069120. Its totient is φ = 6537811968.

The previous prime is 29128196159. The next prime is 29128196189. The reversal of 29128196160 is 6169182192.

29128196160 is a `hidden beast` number, since 2 + 9 + 1 + 28 + 1 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32114427 + ... + 32115333.

It is an arithmetic number, because the mean of its divisors is an integer number (179892960).

Almost surely, 2^29128196160 is an apocalyptic number.

29128196160 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 29128196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60444034560).

29128196160 is an abundant number, since it is smaller than the sum of its proper divisors (91759872960).

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

29128196160 is an equidigital number, since it uses as much as digits as its factorization.

29128196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 29128196160 in words is "twenty-nine billion, one hundred twenty-eight million, one hundred ninety-six thousand, one hundred sixty".