10221019667496 has 192 divisors, whose sum is σ = 30336726139200. Its totient is φ = 3083130086400.

The previous prime is 10221019667473. The next prime is 10221019667533. The reversal of 10221019667496 is 69476691012201.

10221019667496 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 0 + 1 + 96 + 67 + 496 = 666.

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, 156354850 + ... + 156420206.

It is an arithmetic number, because the mean of its divisors is an integer number (158003781975).

Almost surely, 2^{10221019667496} 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 10221019667496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168363069600).

10221019667496 is an abundant number, since it is smaller than the sum of its proper divisors (20115706471704).

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

10221019667496 is a wasteful number, since it uses less digits than its factorization.

10221019667496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66280 (or 66273 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10221019667496 in words is "ten trillion, two hundred twenty-one billion, nineteen million, six hundred sixty-seven thousand, four hundred ninety-six".