29556675456 has 512 divisors, whose sum is σ = 104681963520. Its totient is φ = 7153090560.

The previous prime is 29556675431. The next prime is 29556675457. The reversal of 29556675456 is 65457665592.

It is a super-2 number, since 2×29556675456² (a number of 22 digits) contains 22 as substring.

Its product of digits (68040000) is a multiple of the sum of its prime divisors (630).

It is a self number, because there is not a number n which added to its sum of digits gives 29556675456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29556675457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63837081 + ... + 63837543.

It is an arithmetic number, because the mean of its divisors is an integer number (204456960).

Almost surely, 2^29556675456 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 29556675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52340981760).

29556675456 is an abundant number, since it is smaller than the sum of its proper divisors (75125288064).

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

29556675456 is a wasteful number, since it uses less digits than its factorization.

29556675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 60.

The spelling of 29556675456 in words is "twenty-nine billion, five hundred fifty-six million, six hundred seventy-five thousand, four hundred fifty-six".