29125984200768 has 1344 divisors, whose sum is σ = 108563456736000. Its totient is φ = 7589336186880.

The previous prime is 29125984200757. The next prime is 29125984200793. The reversal of 29125984200768 is 86700248952192.

29125984200768 is a `hidden beast` number, since 2 + 9 + 12 + 598 + 4 + 20 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42150483303 + ... + 42150483993.

It is an arithmetic number, because the mean of its divisors is an integer number (80776381500).

Almost surely, 2^{29125984200768} is an apocalyptic number.

29125984200768 is a gapful number since it is divisible by the number (28) 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 29125984200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54281728368000).

29125984200768 is an abundant number, since it is smaller than the sum of its proper divisors (79437472535232).

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

29125984200768 is a wasteful number, since it uses less digits than its factorization.

29125984200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 29125984200768 in words is "twenty-nine trillion, one hundred twenty-five billion, nine hundred eighty-four million, two hundred thousand, seven hundred sixty-eight".