29975914656 has 144 divisors (see below), whose sum is σ = 86790832128. Its totient is φ = 9812275200.

The previous prime is 29975914621. The next prime is 29975914679. The reversal of 29975914656 is 65641957992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 29975914593 and 29975914602.

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, 3655521 + ... + 3663711.

It is an arithmetic number, because the mean of its divisors is an integer number (602714112).

Almost surely, 2^29975914656 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 29975914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43395416064).

29975914656 is an abundant number, since it is smaller than the sum of its proper divisors (56814917472).

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

29975914656 is a wasteful number, since it uses less digits than its factorization.

29975914656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8424 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 29975914656 in words is "twenty-nine billion, nine hundred seventy-five million, nine hundred fourteen thousand, six hundred fifty-six".