29953303603968 has 144 divisors (see below), whose sum is σ = 82380669593600. Its totient is φ = 9651834961920.

The previous prime is 29953303603967. The next prime is 29953303604053. The reversal of 29953303603968 is 86930630335992.

It is a junction number, because it is equal to n+sod(n) for n = 29953303603899 and 29953303603908.

It is not an unprimeable number, because it can be changed into a prime (29953303603963) 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, 21195048 + ... + 22564056.

Almost surely, 2^{29953303603968} 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 29953303603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41190334796800).

29953303603968 is an abundant number, since it is smaller than the sum of its proper divisors (52427365989632).

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

29953303603968 is a wasteful number, since it uses less digits than its factorization.

29953303603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369978 (or 1369964 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 66.

The spelling of 29953303603968 in words is "twenty-nine trillion, nine hundred fifty-three billion, three hundred three million, six hundred three thousand, nine hundred sixty-eight".