29661120000 has 400 divisors, whose sum is σ = 109745557680. Its totient is φ = 7907328000.

The previous prime is 29661119987. The next prime is 29661120011. The reversal of 29661120000 is 2116692.

29661120000 is a `hidden beast` number, since 29 + 6 + 611 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8638284 + ... + 8641716.

Almost surely, 2^29661120000 is an apocalyptic number.

29661120000 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 29661120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54872778840).

29661120000 is an abundant number, since it is smaller than the sum of its proper divisors (80084437680).

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

29661120000 is an frugal number, since it uses more digits than its factorization.

29661120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 29661120000 its reverse (2116692), we get a palindrome (29663236692).

The spelling of 29661120000 in words is "twenty-nine billion, six hundred sixty-one million, one hundred twenty thousand".