29990957760 has 168 divisors, whose sum is σ = 103334003136. Its totient is φ = 7983820800.

The previous prime is 29990957743. The next prime is 29990957761. The reversal of 29990957760 is 6775909992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29990957761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722217 + ... + 1739543.

It is an arithmetic number, because the mean of its divisors is an integer number (615083352).

Almost surely, 2^29990957760 is an apocalyptic number.

29990957760 is a gapful number since it is divisible by the number (20) 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 29990957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667001568).

29990957760 is an abundant number, since it is smaller than the sum of its proper divisors (73343045376).

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

29990957760 is a wasteful number, since it uses less digits than its factorization.

29990957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951 (or 17938 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 29990957760 in words is "twenty-nine billion, nine hundred ninety million, nine hundred fifty-seven thousand, seven hundred sixty".