29955267241900 has 576 divisors, whose sum is σ = 88519134412800. Its totient is φ = 8496561484800.

The previous prime is 29955267241871. The next prime is 29955267242071. The reversal of 29955267241900 is 914276255992.

It is a super-2 number, since 2×29955267241900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2340431701 + ... + 2340444499.

It is an arithmetic number, because the mean of its divisors is an integer number (153679052800).

Almost surely, 2^{29955267241900} is an apocalyptic number.

29955267241900 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 29955267241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259567206400).

29955267241900 is an abundant number, since it is smaller than the sum of its proper divisors (58563867170900).

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

29955267241900 is a wasteful number, since it uses less digits than its factorization.

29955267241900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174 (or 13167 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 29955267241900 in words is "twenty-nine trillion, nine hundred fifty-five billion, two hundred sixty-seven million, two hundred forty-one thousand, nine hundred".