29504956104 has 64 divisors (see below), whose sum is σ = 88262697600. Its totient is φ = 9078447168.

The previous prime is 29504956097. The next prime is 29504956111. The reversal of 29504956104 is 40165940592.

29504956104 is a `hidden beast` number, since 2 + 9 + 50 + 495 + 6 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (29504956097) and next prime (29504956111).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29504956104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250924 + ... + 5256539.

It is an arithmetic number, because the mean of its divisors is an integer number (1379104650).

Almost surely, 2^29504956104 is an apocalyptic number.

29504956104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29504956104 is an abundant number, since it is smaller than the sum of its proper divisors (58757741496).

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

29504956104 is a wasteful number, since it uses less digits than its factorization.

29504956104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507491 (or 10507481 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 295049 and 56104, that added together give a palindrome (351153).

The spelling of 29504956104 in words is "twenty-nine billion, five hundred four million, nine hundred fifty-six thousand, one hundred four".