29002090000000 has 576 divisors, whose sum is σ = 78806228431320. Its totient is φ = 10626720000000.

The previous prime is 29002089999997. The next prime is 29002090000069. The reversal of 29002090000000 is 9020092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 22468585930816 + 6533504069184 = 4740104^2 + 2556072^2 .

It is a super-2 number, since 2×29002090000000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221389999935 + ... + 221390000065.

Almost surely, 2^{29002090000000} is an apocalyptic number.

29002090000000 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 29002090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39403114215660).

29002090000000 is an abundant number, since it is smaller than the sum of its proper divisors (49804138431320).

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

29002090000000 is an frugal number, since it uses more digits than its factorization.

29002090000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 29002090000000 its reverse (9020092), we get a palindrome (29002099020092).

The spelling of 29002090000000 in words is "twenty-nine trillion, two billion, ninety million", and thus it is an aban number and an uban number.