21486487680 has 1152 divisors, whose sum is σ = 95399441280. Its totient is φ = 4514807808.

The previous prime is 21486487679. The next prime is 21486487721. The reversal of 21486487680 is 8678468412.

21486487680 is a `hidden beast` number, since 2 + 1 + 4 + 86 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499685739 + ... + 499685781.

It is an arithmetic number, because the mean of its divisors is an integer number (82812015).

Almost surely, 2^21486487680 is an apocalyptic number.

21486487680 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 21486487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47699720640).

21486487680 is an abundant number, since it is smaller than the sum of its proper divisors (73912953600).

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

21486487680 is an frugal number, since it uses more digits than its factorization.

21486487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 21486487680 in words is "twenty-one billion, four hundred eighty-six million, four hundred eighty-seven thousand, six hundred eighty".