21234960000 has 800 divisors, whose sum is σ = 82414322100. Its totient is φ = 5419008000.

The previous prime is 21234959957. The next prime is 21234960017. The reversal of 21234960000 is 6943212.

21234960000 is a `hidden beast` number, since 2 + 12 + 3 + 49 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 6725312064 + 14509647936 = 82008^2 + 120456^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 187919944 + ... + 187920056.

Almost surely, 2^21234960000 is an apocalyptic number.

21234960000 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 21234960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207161050).

21234960000 is an abundant number, since it is smaller than the sum of its proper divisors (61179362100).

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

21234960000 is an equidigital number, since it uses as much as digits as its factorization.

21234960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21234960000 in words is "twenty-one billion, two hundred thirty-four million, nine hundred sixty thousand".