21571296000 has 288 divisors, whose sum is σ = 73597637568. Its totient is φ = 5595955200.

The previous prime is 21571295981. The next prime is 21571296013. The reversal of 21571296000 is 69217512.

It is a super-2 number, since 2×21571296000² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3548964 + ... + 3555036.

Almost surely, 2^21571296000 is an apocalyptic number.

21571296000 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 21571296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36798818784).

21571296000 is an abundant number, since it is smaller than the sum of its proper divisors (52026341568).

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

21571296000 is an equidigital number, since it uses as much as digits as its factorization.

21571296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 21571296000 in words is "twenty-one billion, five hundred seventy-one million, two hundred ninety-six thousand".