29810930688 has 1056 divisors, whose sum is σ = 118483635200. Its totient is φ = 7226081280.

The previous prime is 29810930663. The next prime is 29810930713. The reversal of 29810930688 is 88603901892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29810930663) and next prime (29810930713).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444939231 + ... + 444939297.

Almost surely, 2^29810930688 is an apocalyptic number.

29810930688 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 29810930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241817600).

29810930688 is an abundant number, since it is smaller than the sum of its proper divisors (88672704512).

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

29810930688 is a wasteful number, since it uses less digits than its factorization.

29810930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29810930688 in words is "twenty-nine billion, eight hundred ten million, nine hundred thirty thousand, six hundred eighty-eight".