21429123754752 has 1296 divisors, whose sum is σ = 80336107575360. Its totient is φ = 5562243219456.

The previous prime is 21429123754751. The next prime is 21429123754763. The reversal of 21429123754752 is 25745732192412.

21429123754752 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 9 + 12 + 37 + 547 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21429123754751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5796352968 + ... + 5796356664.

Almost surely, 2^{21429123754752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21429123754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40168053787680).

21429123754752 is an abundant number, since it is smaller than the sum of its proper divisors (58906983820608).

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

21429123754752 is an frugal number, since it uses more digits than its factorization.

21429123754752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3755 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 21429123754752 in words is "twenty-one trillion, four hundred twenty-nine billion, one hundred twenty-three million, seven hundred fifty-four thousand, seven hundred fifty-two".