21260073203712 has 1536 divisors, whose sum is σ = 77752846080000. Its totient is φ = 5675758387200.

The previous prime is 21260073203671. The next prime is 21260073203771. The reversal of 21260073203712 is 21730237006212.

21260073203712 is a `hidden beast` number, since 2 + 1 + 2 + 600 + 7 + 3 + 2 + 0 + 37 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 53017638712 + ... + 53017639112.

It is an arithmetic number, because the mean of its divisors is an integer number (50620342500).

Almost surely, 2^{21260073203712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21260073203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38876423040000).

21260073203712 is an abundant number, since it is smaller than the sum of its proper divisors (56492772876288).

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

21260073203712 is an frugal number, since it uses more digits than its factorization.

21260073203712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 21260073203712 in words is "twenty-one trillion, two hundred sixty billion, seventy-three million, two hundred three thousand, seven hundred twelve".