29973113856 has 176 divisors, whose sum is σ = 101447354880. Its totient is φ = 8563691520.

The previous prime is 29973113851. The next prime is 29973113857. The reversal of 29973113856 is 65831137992.

29973113856 is a `hidden beast` number, since 299 + 7 + 311 + 38 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29973113851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116101 + ... + 270971.

Almost surely, 2^29973113856 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 29973113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50723677440).

29973113856 is an abundant number, since it is smaller than the sum of its proper divisors (71474241024).

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

29973113856 is a wasteful number, since it uses less digits than its factorization.

29973113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154907 (or 154883 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 29973113856 in words is "twenty-nine billion, nine hundred seventy-three million, one hundred thirteen thousand, eight hundred fifty-six".