29950915104 has 720 divisors, whose sum is σ = 104021933400. Its totient is φ = 8430428160.

The previous prime is 29950915073. The next prime is 29950915151. The reversal of 29950915104 is 40151905992.

29950915104 is a `hidden beast` number, since 2 + 99 + 509 + 1 + 51 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27007635600 + 2943279504 = 164340^2 + 54252^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29950915104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 336527092 + ... + 336527180.

Almost surely, 2^29950915104 is an apocalyptic number.

29950915104 is a gapful number since it is divisible by the number (24) 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 29950915104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52010966700).

29950915104 is an abundant number, since it is smaller than the sum of its proper divisors (74071018296).

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

29950915104 is a wasteful number, since it uses less digits than its factorization.

29950915104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 29950915104 in words is "twenty-nine billion, nine hundred fifty million, nine hundred fifteen thousand, one hundred four".