21986264416410 has 192 divisors, whose sum is σ = 69012078520320. Its totient is φ = 4744111628160.

The previous prime is 21986264416409. The next prime is 21986264416451. The reversal of 21986264416410 is 1461446268912.

21986264416410 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 626 + 4 + 4 + 1 + 6 + 4 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142315 + ... + 6632705.

It is an arithmetic number, because the mean of its divisors is an integer number (359437908960).

Almost surely, 2^{21986264416410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21986264416410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34506039260160).

21986264416410 is an abundant number, since it is smaller than the sum of its proper divisors (47025814103910).

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

21986264416410 is a wasteful number, since it uses less digits than its factorization.

21986264416410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490713 (or 6490710 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 21986264416410 in words is "twenty-one trillion, nine hundred eighty-six billion, two hundred sixty-four million, four hundred sixteen thousand, four hundred ten".