21073920000 has 640 divisors, whose sum is σ = 81892536000. Its totient is φ = 4816896000.

The previous prime is 21073919983. The next prime is 21073920017. The reversal of 21073920000 is 2937012.

It is an interprime number because it is at equal distance from previous prime (21073919983) and next prime (21073920017).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21073920000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3010559997 + ... + 3010560003.

Almost surely, 2^21073920000 is an apocalyptic number.

21073920000 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 21073920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40946268000).

21073920000 is an abundant number, since it is smaller than the sum of its proper divisors (60818616000).

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

21073920000 is an frugal number, since it uses more digits than its factorization.

21073920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 21073920000 in words is "twenty-one billion, seventy-three million, nine hundred twenty thousand".