29687290000 has 75 divisors (see below), whose sum is σ = 71917637583. Its totient is φ = 11868024000.

The previous prime is 29687289971. The next prime is 29687290033. The reversal of 29687290000 is 9278692.

It is a happy number.

The square root of 29687290000 is 172300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2327483536 + 27359806464 = 48244^2 + 165408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17229139 + ... + 17230861.

Almost surely, 2^29687290000 is an apocalyptic number.

29687290000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29687290000 is the 172300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29687290000

29687290000 is an abundant number, since it is smaller than the sum of its proper divisors (42230347583).

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

29687290000 is an frugal number, since it uses more digits than its factorization.

29687290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 29687290000 in words is "twenty-nine billion, six hundred eighty-seven million, two hundred ninety thousand".