21053746584 has 128 divisors (see below), whose sum is σ = 63334656000. Its totient is φ = 6441731712.

The previous prime is 21053746547. The next prime is 21053746589. The reversal of 21053746584 is 48564735012.

21053746584 is a `hidden beast` number, since 2 + 10 + 53 + 7 + 4 + 6 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21053746589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481689 + ... + 523575.

It is an arithmetic number, because the mean of its divisors is an integer number (494802000).

Almost surely, 2^21053746584 is an apocalyptic number.

21053746584 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 21053746584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667328000).

21053746584 is an abundant number, since it is smaller than the sum of its proper divisors (42280909416).

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

21053746584 is a wasteful number, since it uses less digits than its factorization.

21053746584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42094 (or 42084 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 21053746584 in words is "twenty-one billion, fifty-three million, seven hundred forty-six thousand, five hundred eighty-four".