21456760000 has 140 divisors (see below), whose sum is σ = 57299933152. Its totient is φ = 7922304000.

The previous prime is 21456759979. The next prime is 21456760009. The reversal of 21456760000 is 6765412.

It is a happy number.

It is a super-3 number, since 3×21456760000³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21456760009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499369 + ... + 540631.

Almost surely, 2^21456760000 is an apocalyptic number.

21456760000 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 21456760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28649966576).

21456760000 is an abundant number, since it is smaller than the sum of its proper divisors (35843173152).

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

21456760000 is an equidigital number, since it uses as much as digits as its factorization.

21456760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41308 (or 41283 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

It can be divided in two parts, 21456 and 760000, that added together give a square (781456 = 884²).

The spelling of 21456760000 in words is "twenty-one billion, four hundred fifty-six million, seven hundred sixty thousand".