21452350096080 has 640 divisors, whose sum is σ = 77148755735040. Its totient is φ = 5474343813120.

The previous prime is 21452350095941. The next prime is 21452350096087. The reversal of 21452350096080 is 8069005325412.

21452350096080 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 2 + 3 + 500 + 9 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21452350096087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1183046694 + ... + 1183064826.

It is an arithmetic number, because the mean of its divisors is an integer number (120544930836).

Almost surely, 2^{21452350096080} is an apocalyptic number.

21452350096080 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 21452350096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38574377867520).

21452350096080 is an abundant number, since it is smaller than the sum of its proper divisors (55696405638960).

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

21452350096080 is a wasteful number, since it uses less digits than its factorization.

21452350096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 18424 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21452350096080 in words is "twenty-one trillion, four hundred fifty-two billion, three hundred fifty million, ninety-six thousand, eighty".