29997123966628 has 96 divisors (see below), whose sum is σ = 65048368170240. Its totient is φ = 11786582937600.

The previous prime is 29997123966599. The next prime is 29997123966629. The reversal of 29997123966628 is 82666932179992.

It is not an unprimeable number, because it can be changed into a prime (29997123966629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33568603 + ... + 34450621.

It is an arithmetic number, because the mean of its divisors is an integer number (677587168440).

Almost surely, 2^{29997123966628} is an apocalyptic number.

29997123966628 is a gapful number since it is divisible by the number (28) 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 29997123966628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32524184085120).

29997123966628 is an abundant number, since it is smaller than the sum of its proper divisors (35051244203612).

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

29997123966628 is a wasteful number, since it uses less digits than its factorization.

29997123966628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882677 (or 882675 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 79.

The spelling of 29997123966628 in words is "twenty-nine trillion, nine hundred ninety-seven billion, one hundred twenty-three million, nine hundred sixty-six thousand, six hundred twenty-eight".