21016677470976 has 576 divisors, whose sum is σ = 69530698944000. Its totient is φ = 6206467276800.

The previous prime is 21016677470903. The next prime is 21016677470981. The reversal of 21016677470976 is 67907477661012.

21016677470976 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 6 + 6 + 77 + 470 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3270057075 + ... + 3270063501.

It is an arithmetic number, because the mean of its divisors is an integer number (120713019000).

Almost surely, 2^{21016677470976} 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 21016677470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34765349472000).

21016677470976 is an abundant number, since it is smaller than the sum of its proper divisors (48514021473024).

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

21016677470976 is a wasteful number, since it uses less digits than its factorization.

21016677470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 21016677470976 in words is "twenty-one trillion, sixteen billion, six hundred seventy-seven million, four hundred seventy thousand, nine hundred seventy-six".