29960888724396 has 288 divisors, whose sum is σ = 93696581701632. Its totient is φ = 8192352234240.

The previous prime is 29960888724383. The next prime is 29960888724449. The reversal of 29960888724396 is 69342788806992.

29960888724396 is a `hidden beast` number, since 2 + 99 + 60 + 8 + 8 + 87 + 2 + 4 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14381125 + ... + 16332131.

Almost surely, 2^{29960888724396} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29960888724396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46848290850816).

29960888724396 is an abundant number, since it is smaller than the sum of its proper divisors (63735692977236).

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

29960888724396 is a wasteful number, since it uses less digits than its factorization.

29960888724396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951131 (or 1951117 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 29960888724396 in words is "twenty-nine trillion, nine hundred sixty billion, eight hundred eighty-eight million, seven hundred twenty-four thousand, three hundred ninety-six".