29975063735008 has 144 divisors (see below), whose sum is σ = 71514513630000. Its totient is φ = 12320700241920.

The previous prime is 29975063734997. The next prime is 29975063735027. The reversal of 29975063735008 is 80053736057992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158383 + ... + 7744366.

It is an arithmetic number, because the mean of its divisors is an integer number (496628566875).

Almost surely, 2^{29975063735008} is an apocalyptic number.

29975063735008 is a gapful number since it is divisible by the number (28) 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 29975063735008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35757256815000).

29975063735008 is an abundant number, since it is smaller than the sum of its proper divisors (41539449894992).

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

29975063735008 is a wasteful number, since it uses less digits than its factorization.

29975063735008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902873 (or 7902858 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 29975063735008 in words is "twenty-nine trillion, nine hundred seventy-five billion, sixty-three million, seven hundred thirty-five thousand, eight".