21136172724000 has 480 divisors, whose sum is σ = 77632133394816. Its totient is φ = 5632292620800.

The previous prime is 21136172723993. The next prime is 21136172724013. The reversal of 21136172724000 is 42727163112.

21136172724000 is a `hidden beast` number, since 2 + 1 + 13 + 6 + 172 + 72 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 468805459 + ... + 468850541.

Almost surely, 2^{21136172724000} is an apocalyptic number.

21136172724000 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 21136172724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38816066697408).

21136172724000 is an abundant number, since it is smaller than the sum of its proper divisors (56495960670816).

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

21136172724000 is a wasteful number, since it uses less digits than its factorization.

21136172724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46567 (or 46540 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 21136172724000 its reverse (42727163112), we get a palindrome (21178899887112).

The spelling of 21136172724000 in words is "twenty-one trillion, one hundred thirty-six billion, one hundred seventy-two million, seven hundred twenty-four thousand".