29991855040 has 112 divisors (see below), whose sum is σ = 81901052352. Its totient is φ = 10247602176.

The previous prime is 29991855037. The next prime is 29991855067. The reversal of 29991855040 is 4055819992.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×29991855040² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633472 + ... + 679168.

It is an arithmetic number, because the mean of its divisors is an integer number (731259396).

Almost surely, 2^29991855040 is an apocalyptic number.

29991855040 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 29991855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950526176).

29991855040 is an abundant number, since it is smaller than the sum of its proper divisors (51909197312).

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

29991855040 is a wasteful number, since it uses less digits than its factorization.

29991855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46014 (or 46004 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 52.

The spelling of 29991855040 in words is "twenty-nine billion, nine hundred ninety-one million, eight hundred fifty-five thousand, forty".