29120675840 has 120 divisors (see below), whose sum is σ = 72148215552. Its totient is φ = 11271536640.

The previous prime is 29120675833. The next prime is 29120675849. The reversal of 29120675840 is 4857602192.

It is a happy number.

It is a super-2 number, since 2×29120675840² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29120675791 and 29120675800.

It is not an unprimeable number, because it can be changed into a prime (29120675849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2533787 + ... + 2545253.

Almost surely, 2^29120675840 is an apocalyptic number.

29120675840 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 29120675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36074107776).

29120675840 is an abundant number, since it is smaller than the sum of its proper divisors (43027539712).

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

29120675840 is an equidigital number, since it uses as much as digits as its factorization.

29120675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 29120675840 in words is "twenty-nine billion, one hundred twenty million, six hundred seventy-five thousand, eight hundred forty".