29938895875 has 72 divisors (see below), whose sum is σ = 45452276064. Its totient is φ = 19594344000.

The previous prime is 29938895849. The next prime is 29938895911. The reversal of 29938895875 is 57859883992.

It is not a de Polignac number, because 29938895875 - 2¹³ = 29938887683 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29938895798 and 29938895807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64943145 + ... + 64943605.

It is an arithmetic number, because the mean of its divisors is an integer number (631281612).

Almost surely, 2^29938895875 is an apocalyptic number.

29938895875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29938895875 is a deficient number, since it is larger than the sum of its proper divisors (15513380189).

29938895875 is an frugal number, since it uses more digits than its factorization.

29938895875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 496 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 73.

The spelling of 29938895875 in words is "twenty-nine billion, nine hundred thirty-eight million, eight hundred ninety-five thousand, eight hundred seventy-five".