29075085312 has 1152 divisors, whose sum is σ = 112935513600. Its totient is φ = 6539968512.

The previous prime is 29075085301. The next prime is 29075085313. The reversal of 29075085312 is 21358057092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29075085313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1264134133 + ... + 1264134155.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^29075085312 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 29075085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56467756800).

29075085312 is an abundant number, since it is smaller than the sum of its proper divisors (83860428288).

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

29075085312 is a wasteful number, since it uses less digits than its factorization.

29075085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 29075085312 in words is "twenty-nine billion, seventy-five million, eighty-five thousand, three hundred twelve".