21142892160 has 640 divisors, whose sum is σ = 82264366800. Its totient is φ = 5143855104.

The previous prime is 21142892137. The next prime is 21142892167. The reversal of 21142892160 is 6129824112.

21142892160 is a `hidden beast` number, since 2 + 11 + 428 + 9 + 216 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11370383424 + 9772508736 = 106632^2 + 98856^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (21142892167) 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 79 ways as a sum of consecutive naturals, for example, 92326926 + ... + 92327154.

Almost surely, 2^21142892160 is an apocalyptic number.

21142892160 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 21142892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41132183400).

21142892160 is an abundant number, since it is smaller than the sum of its proper divisors (61121474640).

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

21142892160 is a wasteful number, since it uses less digits than its factorization.

21142892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21142892160 in words is "twenty-one billion, one hundred forty-two million, eight hundred ninety-two thousand, one hundred sixty".