29379055104 has 400 divisors, whose sum is σ = 106128573408. Its totient is φ = 7898923008.

The previous prime is 29379055103. The next prime is 29379055117. The reversal of 29379055104 is 40155097392.

It is a happy number.

29379055104 is a `hidden beast` number, since 2 + 9 + 3 + 7 + 90 + 551 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29379055104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379055103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4932192 + ... + 4938144.

Almost surely, 2^29379055104 is an apocalyptic number.

29379055104 is a gapful number since it is divisible by the number (24) 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 29379055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53064286704).

29379055104 is an abundant number, since it is smaller than the sum of its proper divisors (76749518304).

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

29379055104 is an equidigital number, since it uses as much as digits as its factorization.

29379055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 29379055104 in words is "twenty-nine billion, three hundred seventy-nine million, fifty-five thousand, one hundred four".