29080114560 has 640 divisors, whose sum is σ = 119810211840. Its totient is φ = 6584094720.

The previous prime is 29080114513. The next prime is 29080114573. The reversal of 29080114560 is 6541108092.

29080114560 is a `hidden beast` number, since 2 + 9 + 0 + 80 + 1 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46085445 + ... + 46086075.

It is an arithmetic number, because the mean of its divisors is an integer number (187203456).

Almost surely, 2^29080114560 is an apocalyptic number.

29080114560 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 29080114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59905105920).

29080114560 is an abundant number, since it is smaller than the sum of its proper divisors (90730097280).

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

29080114560 is a wasteful number, since it uses less digits than its factorization.

29080114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 29080114560 in words is "twenty-nine billion, eighty million, one hundred fourteen thousand, five hundred sixty".