29952228796128 has 192 divisors, whose sum is σ = 87484559500800. Its totient is φ = 9969926446080.

The previous prime is 29952228796099. The next prime is 29952228796153. The reversal of 29952228796128 is 82169782225992.

29952228796128 is a `hidden beast` number, since 2 + 9 + 9 + 522 + 2 + 8 + 7 + 96 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (313528320) is a multiple of the sum of its prime divisors (16128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2419593843 + ... + 2419606221.

It is an arithmetic number, because the mean of its divisors is an integer number (455648747400).

Almost surely, 2^{29952228796128} 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 29952228796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742279750400).

29952228796128 is an abundant number, since it is smaller than the sum of its proper divisors (57532330704672).

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

29952228796128 is a wasteful number, since it uses less digits than its factorization.

29952228796128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16142 (or 16128 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 29952228796128 in words is "twenty-nine trillion, nine hundred fifty-two billion, two hundred twenty-eight million, seven hundred ninety-six thousand, one hundred twenty-eight".