29999164140 has 576 divisors, whose sum is σ = 106482055680. Its totient is φ = 6769889280.

The previous prime is 29999164133. The next prime is 29999164141. The reversal of 29999164140 is 4146199992.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29999164141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280365967 + ... + 280366073.

It is an arithmetic number, because the mean of its divisors is an integer number (184864680).

Almost surely, 2^29999164140 is an apocalyptic number.

29999164140 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 29999164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53241027840).

29999164140 is an abundant number, since it is smaller than the sum of its proper divisors (76482891540).

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

29999164140 is a wasteful number, since it uses less digits than its factorization.

29999164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 29999164140 in words is "twenty-nine billion, nine hundred ninety-nine million, one hundred sixty-four thousand, one hundred forty".