29160116640 has 504 divisors, whose sum is σ = 106457391180. Its totient is φ = 7543590912.

The previous prime is 29160116597. The next prime is 29160116641. The reversal of 29160116640 is 4661106192.

29160116640 is a `hidden beast` number, since 2 + 9 + 1 + 6 + 0 + 1 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14345331984 + 14814784656 = 119772^2 + 121716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29160116595 and 29160116604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29160116641) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 327641716 + ... + 327641804.

Almost surely, 2^29160116640 is an apocalyptic number.

29160116640 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 29160116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228695590).

29160116640 is an abundant number, since it is smaller than the sum of its proper divisors (77297274540).

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

29160116640 is an frugal number, since it uses more digits than its factorization.

29160116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 29160 and 116640, that multiplied together give a square (3401222400 = 58320²).

The spelling of 29160116640 in words is "twenty-nine billion, one hundred sixty million, one hundred sixteen thousand, six hundred forty".