29948825088 has 960 divisors, whose sum is σ = 117554976000. Its totient is φ = 7441072128.

The previous prime is 29948825083. The next prime is 29948825099. The reversal of 29948825088 is 88052884992.

29948825088 is a `hidden beast` number, since 2 + 9 + 9 + 48 + 82 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29948825083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167311783 + ... + 167311961.

It is an arithmetic number, because the mean of its divisors is an integer number (122453100).

Almost surely, 2^29948825088 is an apocalyptic number.

29948825088 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 29948825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488000).

29948825088 is an abundant number, since it is smaller than the sum of its proper divisors (87606150912).

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

29948825088 is a wasteful number, since it uses less digits than its factorization.

29948825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 29948825088 in words is "twenty-nine billion, nine hundred forty-eight million, eight hundred twenty-five thousand, eighty-eight".