29899045872000 has 768 divisors, whose sum is σ = 109105386324480. Its totient is φ = 7844870246400.

The previous prime is 29899045871999. The next prime is 29899045872001. The reversal of 29899045872000 is 27854099892.

It is a happy number.

29899045872000 is a `hidden beast` number, since 2 + 98 + 9 + 90 + 458 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (29899045871999) and next prime (29899045872001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29899045872001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13188814867 + ... + 13188817133.

It is an arithmetic number, because the mean of its divisors is an integer number (142064305110).

Almost surely, 2^{29899045872000} is an apocalyptic number.

29899045872000 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 29899045872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552693162240).

29899045872000 is an abundant number, since it is smaller than the sum of its proper divisors (79206340452480).

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

29899045872000 is a wasteful number, since it uses less digits than its factorization.

29899045872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 29899045872000 in words is "twenty-nine trillion, eight hundred ninety-nine billion, forty-five million, eight hundred seventy-two thousand".