21429645120 has 1344 divisors, whose sum is σ = 92263691520. Its totient is φ = 4682022912.

The previous prime is 21429645119. The next prime is 21429645157. The reversal of 21429645120 is 2154692412.

It is a happy number.

21429645120 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 9 + 645 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 498363819 + ... + 498363861.

It is an arithmetic number, because the mean of its divisors is an integer number (68648580).

Almost surely, 2^21429645120 is an apocalyptic number.

21429645120 is a gapful number since it is divisible by the number (20) 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 21429645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131845760).

21429645120 is an abundant number, since it is smaller than the sum of its proper divisors (70834046400).

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

21429645120 is a wasteful number, since it uses less digits than its factorization.

21429645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21429645120 in words is "twenty-one billion, four hundred twenty-nine million, six hundred forty-five thousand, one hundred twenty".