21467579904 has 160 divisors (see below), whose sum is σ = 65737980000. Its totient is φ = 6908977152.

The previous prime is 21467579891. The next prime is 21467579909. The reversal of 21467579904 is 40997576412.

21467579904 is a `hidden beast` number, since 2 + 1 + 4 + 67 + 579 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21467579909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374122 + ... + 427670.

It is an arithmetic number, because the mean of its divisors is an integer number (410862375).

Almost surely, 2^21467579904 is an apocalyptic number.

21467579904 is a gapful number since it is divisible by the number (24) 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 21467579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868990000).

21467579904 is an abundant number, since it is smaller than the sum of its proper divisors (44270400096).

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

21467579904 is an equidigital number, since it uses as much as digits as its factorization.

21467579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53605 (or 53583 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 21467579904 in words is "twenty-one billion, four hundred sixty-seven million, five hundred seventy-nine thousand, nine hundred four".