29949696000000 has 1680 divisors, whose sum is σ = 126970499756800. Its totient is φ = 6834585600000.

The previous prime is 29949695999981. The next prime is 29949696000041. The reversal of 29949696000000 is 69694992.

29949696000000 is a `hidden beast` number, since 2 + 99 + 496 + 9 + 60 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48383999691 + ... + 48384000309.

Almost surely, 2^{29949696000000} is an apocalyptic number.

29949696000000 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 29949696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485249878400).

29949696000000 is an abundant number, since it is smaller than the sum of its proper divisors (97020803756800).

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

29949696000000 is an frugal number, since it uses more digits than its factorization.

29949696000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 29949696000000 in words is "twenty-nine trillion, nine hundred forty-nine billion, six hundred ninety-six million", and thus it is an aban number.