29894410000 has 675 divisors, whose sum is σ = 96219622521. Its totient is φ = 8963136000.

The previous prime is 29894409997. The next prime is 29894410009. The reversal of 29894410000 is 1449892.

It is a happy number.

The square root of 29894410000 is 172900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 29527610896 + 366799104 = 171836^2 + 19152^2 .

It is not an unprimeable number, because it can be changed into a prime (29894410009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1573389991 + ... + 1573390009.

Almost surely, 2^29894410000 is an apocalyptic number.

29894410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29894410000 is the 172900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29894410000

29894410000 is an abundant number, since it is smaller than the sum of its proper divisors (66325212521).

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

29894410000 is a wasteful number, since it uses less digits than its factorization.

29894410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 29894410000 by its product of nonzero digits (20736), we get a square (619890485760000 = 24897600²).

Adding to 29894410000 its reverse (1449892), we get a palindrome (29895859892).

The spelling of 29894410000 in words is "twenty-nine billion, eight hundred ninety-four million, four hundred ten thousand".