21286164480 has 576 divisors, whose sum is σ = 80668224000. Its totient is φ = 4776984576.

The previous prime is 21286164469. The next prime is 21286164503. The reversal of 21286164480 is 8446168212.

It is a super-2 number, since 2×21286164480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 118917031 + ... + 118917209.

It is an arithmetic number, because the mean of its divisors is an integer number (140049000).

Almost surely, 2^21286164480 is an apocalyptic number.

21286164480 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 21286164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112000).

21286164480 is an abundant number, since it is smaller than the sum of its proper divisors (59382059520).

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

21286164480 is a wasteful number, since it uses less digits than its factorization.

21286164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 21286164480 in words is "twenty-one billion, two hundred eighty-six million, one hundred sixty-four thousand, four hundred eighty".