29945372160 has 640 divisors, whose sum is σ = 114549811200. Its totient is φ = 6587678720.

The previous prime is 29945372117. The next prime is 29945372167. The reversal of 29945372160 is 6127354992.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29945372167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41648281 + ... + 41648999.

It is an arithmetic number, because the mean of its divisors is an integer number (178984080).

Almost surely, 2^29945372160 is an apocalyptic number.

29945372160 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 29945372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57274905600).

29945372160 is an abundant number, since it is smaller than the sum of its proper divisors (84604439040).

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

29945372160 is a wasteful number, since it uses less digits than its factorization.

29945372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 29945372160 in words is "twenty-nine billion, nine hundred forty-five million, three hundred seventy-two thousand, one hundred sixty".