29048021789952 has 576 divisors, whose sum is σ = 87568849944576. Its totient is φ = 8471838842880.

The previous prime is 29048021789951. The next prime is 29048021789953. The reversal of 29048021789952 is 25998712084092.

It is an interprime number because it is at equal distance from previous prime (29048021789951) and next prime (29048021789953).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29048021789951) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14080474873 + ... + 14080476935.

It is an arithmetic number, because the mean of its divisors is an integer number (152029253376).

Almost surely, 2^{29048021789952} is an apocalyptic number.

29048021789952 is a gapful number since it is divisible by the number (22) 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 29048021789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43784424972288).

29048021789952 is an abundant number, since it is smaller than the sum of its proper divisors (58520828154624).

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

29048021789952 is a wasteful number, since it uses less digits than its factorization.

29048021789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 29048021789952 in words is "twenty-nine trillion, forty-eight billion, twenty-one million, seven hundred eighty-nine thousand, nine hundred fifty-two".