29142955072 has 112 divisors (see below), whose sum is σ = 72184199040. Its totient is φ = 11341209600.

The previous prime is 29142955057. The next prime is 29142955097. The reversal of 29142955072 is 27055924192.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×29142955072² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4969422 + ... + 4975282.

Almost surely, 2^29142955072 is an apocalyptic number.

29142955072 is a gapful number since it is divisible by the number (22) 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 29142955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36092099520).

29142955072 is an abundant number, since it is smaller than the sum of its proper divisors (43041243968).

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

29142955072 is a wasteful number, since it uses less digits than its factorization.

29142955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 29142955072 in words is "twenty-nine billion, one hundred forty-two million, nine hundred fifty-five thousand, seventy-two".