21829436160 has 1152 divisors, whose sum is σ = 92228419584. Its totient is φ = 4282122240.

The previous prime is 21829436077. The next prime is 21829436171. The reversal of 21829436160 is 6163492812.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325812447 + ... + 325812513.

It is an arithmetic number, because the mean of its divisors is an integer number (80059392).

Almost surely, 2^21829436160 is an apocalyptic number.

21829436160 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 21829436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46114209792).

21829436160 is an abundant number, since it is smaller than the sum of its proper divisors (70398983424).

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

21829436160 is a wasteful number, since it uses less digits than its factorization.

21829436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 21829436160 in words is "twenty-one billion, eight hundred twenty-nine million, four hundred thirty-six thousand, one hundred sixty".