29326872960 has 1536 divisors, whose sum is σ = 136868659200. Its totient is φ = 5822668800.

The previous prime is 29326872899. The next prime is 29326873019. The reversal of 29326872960 is 6927862392.

It is a happy number.

29326872960 is a `hidden beast` number, since 2 + 93 + 268 + 7 + 296 + 0 = 666.

It is a super-2 number, since 2×29326872960² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 29326872897 and 29326872906.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 371226201 + ... + 371226279.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 2^29326872960 is an apocalyptic number.

29326872960 is a gapful number since it is divisible by the number (20) 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 29326872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68434329600).

29326872960 is an abundant number, since it is smaller than the sum of its proper divisors (107541786240).

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

29326872960 is a wasteful number, since it uses less digits than its factorization.

29326872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 29326872960 in words is "twenty-nine billion, three hundred twenty-six million, eight hundred seventy-two thousand, nine hundred sixty".