21007132608 has 336 divisors, whose sum is σ = 72268616448. Its totient is φ = 5322240000.

The previous prime is 21007132579. The next prime is 21007132633. The reversal of 21007132608 is 80623170012.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4240533 + ... + 4245483.

It is an arithmetic number, because the mean of its divisors is an integer number (215085168).

Almost surely, 2^21007132608 is an apocalyptic number.

21007132608 is a gapful number since it is divisible by the number (28) 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 21007132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36134308224).

21007132608 is an abundant number, since it is smaller than the sum of its proper divisors (51261483840).

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

21007132608 is a wasteful number, since it uses less digits than its factorization.

21007132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 21007132608 in words is "twenty-one billion, seven million, one hundred thirty-two thousand, six hundred eight".