29822681088 has 270 divisors, whose sum is σ = 90812364489. Its totient is φ = 9753329664.

The previous prime is 29822681051. The next prime is 29822681093. The reversal of 29822681088 is 88018622892.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

29822681088 is a `hidden beast` number, since 298 + 2 + 268 + 10 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28288548864 + 1534132224 = 168192^2 + 39168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122112.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 562692070 + ... + 562692122.

Almost surely, 2^29822681088 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 29822681088

29822681088 is an abundant number, since it is smaller than the sum of its proper divisors (60989683401).

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

29822681088 is an frugal number, since it uses more digits than its factorization.

29822681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 29822681088 in words is "twenty-nine billion, eight hundred twenty-two million, six hundred eighty-one thousand, eighty-eight".