29114772480 has 264 divisors, whose sum is σ = 102601371600. Its totient is φ = 7631634432.

The previous prime is 29114772473. The next prime is 29114772497. The reversal of 29114772480 is 8427741192.

29114772480 is a `hidden beast` number, since 2 + 91 + 14 + 7 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713366 + ... + 2724074.

Almost surely, 2^29114772480 is an apocalyptic number.

29114772480 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 29114772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51300685800).

29114772480 is an abundant number, since it is smaller than the sum of its proper divisors (73486599120).

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

29114772480 is a wasteful number, since it uses less digits than its factorization.

29114772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10799 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 29114772480 in words is "twenty-nine billion, one hundred fourteen million, seven hundred seventy-two thousand, four hundred eighty".