21616676506640 has 320 divisors, whose sum is σ = 53852103244800. Its totient is φ = 8056089280512.

The previous prime is 21616676506589. The next prime is 21616676506657. The reversal of 21616676506640 is 4660567661612.

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, 1944115001 + ... + 1944126119.

It is an arithmetic number, because the mean of its divisors is an integer number (168287822640).

Almost surely, 2^{21616676506640} is an apocalyptic number.

21616676506640 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 21616676506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926051622400).

21616676506640 is an abundant number, since it is smaller than the sum of its proper divisors (32235426738160).

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

21616676506640 is a wasteful number, since it uses less digits than its factorization.

21616676506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 21616676506640 in words is "twenty-one trillion, six hundred sixteen billion, six hundred seventy-six million, five hundred six thousand, six hundred forty".