29969987104512 has 1296 divisors, whose sum is σ = 113261311642752. Its totient is φ = 7546603438080.

The previous prime is 29969987104451. The next prime is 29969987104529. The reversal of 29969987104512 is 21540178996992.

29969987104512 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 9 + 98 + 7 + 10 + 4 + 512 = 666.

It is a super-2 number, since 2×29969987104512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2828152398 + ... + 2828162994.

Almost surely, 2^{29969987104512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29969987104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56630655821376).

29969987104512 is an abundant number, since it is smaller than the sum of its proper divisors (83291324538240).

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

29969987104512 is a wasteful number, since it uses less digits than its factorization.

29969987104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10734 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 29969987104512 in words is "twenty-nine trillion, nine hundred sixty-nine billion, nine hundred eighty-seven million, one hundred four thousand, five hundred twelve".