21098004480 has 648 divisors, whose sum is σ = 86246095572. Its totient is φ = 4756340736.

The previous prime is 21098004461. The next prime is 21098004493. The reversal of 21098004480 is 8440089012.

It can be written as a sum of positive squares in 2 ways, for example, as 21069103104 + 28901376 = 145152^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289013724 + ... + 289013796.

Almost surely, 2^21098004480 is an apocalyptic number.

21098004480 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 21098004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43123047786).

21098004480 is an abundant number, since it is smaller than the sum of its proper divisors (65148091092).

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

21098004480 is an frugal number, since it uses more digits than its factorization.

21098004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21098004480 in words is "twenty-one billion, ninety-eight million, four thousand, four hundred eighty".