29455332480 has 896 divisors, whose sum is σ = 125221075200. Its totient is φ = 6479585280.

The previous prime is 29455332449. The next prime is 29455332503. The reversal of 29455332480 is 8423355492.

29455332480 is a `hidden beast` number, since 2 + 94 + 5 + 53 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×29455332480² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94711525 + ... + 94711835.

Almost surely, 2^29455332480 is an apocalyptic number.

29455332480 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 29455332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62610537600).

29455332480 is an abundant number, since it is smaller than the sum of its proper divisors (95765742720).

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

29455332480 is an equidigital number, since it uses as much as digits as its factorization.

29455332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 29455332480 in words is "twenty-nine billion, four hundred fifty-five million, three hundred thirty-two thousand, four hundred eighty".