29920087040 has 176 divisors, whose sum is σ = 76472841312. Its totient is φ = 11193286656.

The previous prime is 29920087019. The next prime is 29920087049. The reversal of 29920087040 is 4078002992.

It is not an unprimeable number, because it can be changed into a prime (29920087049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15056927 + ... + 15058913.

Almost surely, 2^29920087040 is an apocalyptic number.

29920087040 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 29920087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38236420656).

29920087040 is an abundant number, since it is smaller than the sum of its proper divisors (46552754272).

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

29920087040 is a wasteful number, since it uses less digits than its factorization.

29920087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 29920087040 in words is "twenty-nine billion, nine hundred twenty million, eighty-seven thousand, forty".