29186980128 has 480 divisors, whose sum is σ = 98003727360. Its totient is φ = 8466923520.

The previous prime is 29186980103. The next prime is 29186980153. The reversal of 29186980128 is 82108968192.

It is an interprime number because it is at equal distance from previous prime (29186980103) and next prime (29186980153).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31417168 + ... + 31418096.

It is an arithmetic number, because the mean of its divisors is an integer number (204174432).

Almost surely, 2^29186980128 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 29186980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49001863680).

29186980128 is an abundant number, since it is smaller than the sum of its proper divisors (68816747232).

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

29186980128 is a wasteful number, since it uses less digits than its factorization.

29186980128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 29186980128 in words is "twenty-nine billion, one hundred eighty-six million, nine hundred eighty thousand, one hundred twenty-eight".