10821057891448 has 320 divisors, whose sum is σ = 25725582828000. Its totient is φ = 4250626523136.

The previous prime is 10821057891437. The next prime is 10821057891461. The reversal of 10821057891448 is 84419875012801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10821057891392 and 10821057891401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2099950440 + ... + 2099955592.

Almost surely, 2^{10821057891448} 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 10821057891448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862791414000).

10821057891448 is an abundant number, since it is smaller than the sum of its proper divisors (14904524936552).

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

10821057891448 is a wasteful number, since it uses less digits than its factorization.

10821057891448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 58.

The spelling of 10821057891448 in words is "ten trillion, eight hundred twenty-one billion, fifty-seven million, eight hundred ninety-one thousand, four hundred forty-eight".