29201131008 has 960 divisors, whose sum is σ = 110307225600. Its totient is φ = 7245987840.

The previous prime is 29201130991. The next prime is 29201131049. The reversal of 29201131008 is 80013110292.

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, 550964710 + ... + 550964762.

It is an arithmetic number, because the mean of its divisors is an integer number (114903360).

Almost surely, 2^29201131008 is an apocalyptic number.

29201131008 is a gapful number since it is divisible by the number (28) 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 29201131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153612800).

29201131008 is an abundant number, since it is smaller than the sum of its proper divisors (81106094592).

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

29201131008 is a wasteful number, since it uses less digits than its factorization.

29201131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 29201131008 in words is "twenty-nine billion, two hundred one million, one hundred thirty-one thousand, eight".