21458265984 has 160 divisors (see below), whose sum is σ = 64152728640. Its totient is φ = 7119912960.

The previous prime is 21458265953. The next prime is 21458266007. The reversal of 21458265984 is 48956285412.

21458265984 is a `hidden beast` number, since 2 + 1 + 4 + 582 + 6 + 59 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21458265984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2307424 + ... + 2316704.

It is an arithmetic number, because the mean of its divisors is an integer number (400954554).

Almost surely, 2^21458265984 is an apocalyptic number.

21458265984 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 21458265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32076364320).

21458265984 is an abundant number, since it is smaller than the sum of its proper divisors (42694462656).

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

21458265984 is an equidigital number, since it uses as much as digits as its factorization.

21458265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9509 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 21458265984 in words is "twenty-one billion, four hundred fifty-eight million, two hundred sixty-five thousand, nine hundred eighty-four".