29881663488 has 216 divisors, whose sum is σ = 87759184968. Its totient is φ = 9795796992.

The previous prime is 29881663433. The next prime is 29881663517. The reversal of 29881663488 is 88436618892.

29881663488 is a `hidden beast` number, since 2 + 9 + 88 + 16 + 63 + 488 = 666.

It is a super-2 number, since 2×29881663488² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86114131 + ... + 86114477.

It is an arithmetic number, because the mean of its divisors is an integer number (406292523).

Almost surely, 2^29881663488 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 29881663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43879592484).

29881663488 is an abundant number, since it is smaller than the sum of its proper divisors (57877521480).

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

29881663488 is an frugal number, since it uses more digits than its factorization.

29881663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 425 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 29881663488 in words is "twenty-nine billion, eight hundred eighty-one million, six hundred sixty-three thousand, four hundred eighty-eight".