21417055776 has 288 divisors, whose sum is σ = 64957733568. Its totient is φ = 6938680320.

The previous prime is 21417055763. The next prime is 21417055813. The reversal of 21417055776 is 67755071412.

21417055776 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 70 + 5 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21417055776² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64703931 + ... + 64704261.

It is an arithmetic number, because the mean of its divisors is an integer number (225547686).

Almost surely, 2^21417055776 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 21417055776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32478866784).

21417055776 is an abundant number, since it is smaller than the sum of its proper divisors (43540677792).

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

21417055776 is a wasteful number, since it uses less digits than its factorization.

21417055776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 21417055776 in words is "twenty-one billion, four hundred seventeen million, fifty-five thousand, seven hundred seventy-six".