21495605040000 has 3840 divisors, whose sum is σ = 102301303104000. Its totient is φ = 4368494592000.

The previous prime is 21495605039941. The next prime is 21495605040043. The reversal of 21495605040000 is 4050659412.

21495605040000 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 5 + 605 + 0 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21495605040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 51302159791 + ... + 51302160209.

It is an arithmetic number, because the mean of its divisors is an integer number (26640964350).

Almost surely, 2^{21495605040000} is an apocalyptic number.

21495605040000 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 21495605040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51150651552000).

21495605040000 is an abundant number, since it is smaller than the sum of its proper divisors (80805698064000).

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

21495605040000 is an equidigital number, since it uses as much as digits as its factorization.

21495605040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 21495605040000 its reverse (4050659412), we get a palindrome (21499655699412).

The spelling of 21495605040000 in words is "twenty-one trillion, four hundred ninety-five billion, six hundred five million, forty thousand".