21541703760 has 200 divisors, whose sum is σ = 74899968000. Its totient is φ = 5738128128.

The previous prime is 21541703749. The next prime is 21541703767. The reversal of 21541703760 is 6730714512.

It is a happy number.

21541703760 is a `hidden beast` number, since 21 + 541 + 7 + 0 + 37 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21541703767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10775241 + ... + 10777239.

It is an arithmetic number, because the mean of its divisors is an integer number (374499840).

Almost surely, 2^21541703760 is an apocalyptic number.

21541703760 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 21541703760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449984000).

21541703760 is an abundant number, since it is smaller than the sum of its proper divisors (53358264240).

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

21541703760 is a wasteful number, since it uses less digits than its factorization.

21541703760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 21541703760 in words is "twenty-one billion, five hundred forty-one million, seven hundred three thousand, seven hundred sixty".