29953456512 has 64 divisors (see below), whose sum is σ = 90930144000. Its totient is φ = 8558129664.

The previous prime is 29953456501. The next prime is 29953456541. The reversal of 29953456512 is 21565435992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29953456512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5569012 + ... + 5574387.

It is an arithmetic number, because the mean of its divisors is an integer number (1420783500).

Almost surely, 2^29953456512 is an apocalyptic number.

It is an amenable number.

29953456512 is an abundant number, since it is smaller than the sum of its proper divisors (60976687488).

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

29953456512 is a wasteful number, since it uses less digits than its factorization.

29953456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143423 (or 11143411 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 51.

The spelling of 29953456512 in words is "twenty-nine billion, nine hundred fifty-three million, four hundred fifty-six thousand, five hundred twelve".