29672096256 has 540 divisors, whose sum is σ = 99082789806. Its totient is φ = 8868372480.

The previous prime is 29672096219. The next prime is 29672096261. The reversal of 29672096256 is 65269027692.

It is a happy number.

29672096256 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 2 + 0 + 9 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24591257856 + 5080838400 = 156816^2 + 71280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 406467036 + ... + 406467108.

Almost surely, 2^29672096256 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 29672096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49541394903).

29672096256 is an abundant number, since it is smaller than the sum of its proper divisors (69410693550).

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

29672096256 is an frugal number, since it uses more digits than its factorization.

29672096256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 29672096256 in words is "twenty-nine billion, six hundred seventy-two million, ninety-six thousand, two hundred fifty-six".