21429470160 has 240 divisors, whose sum is σ = 85295124096. Its totient is φ = 4898133504.

The previous prime is 21429470159. The next prime is 21429470191. The reversal of 21429470160 is 6107492412.

It is a happy number.

21429470160 is a `hidden beast` number, since 2 + 1 + 4 + 29 + 470 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 57342 + ... + 214818.

Almost surely, 2^21429470160 is an apocalyptic number.

21429470160 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 21429470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42647562048).

21429470160 is an abundant number, since it is smaller than the sum of its proper divisors (63865653936).

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

21429470160 is a wasteful number, since it uses less digits than its factorization.

21429470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157512 (or 157494 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21429470160 in words is "twenty-one billion, four hundred twenty-nine million, four hundred seventy thousand, one hundred sixty".