10820847304864 has 48 divisors (see below), whose sum is σ = 21669177911976. Its totient is φ = 5317698355200.

The previous prime is 10820847304853. The next prime is 10820847304879. The reversal of 10820847304864 is 46840374802801.

It can be written as a sum of positive squares in 4 ways, for example, as 4954666424464 + 5866180880400 = 2225908^2 + 2422020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480384 + ... + 4676800.

Almost surely, 2^{10820847304864} 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 10820847304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834588955988).

10820847304864 is an abundant number, since it is smaller than the sum of its proper divisors (10848330607112).

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

10820847304864 is a wasteful number, since it uses less digits than its factorization.

10820847304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197809 (or 4197801 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 10820847304864 in words is "ten trillion, eight hundred twenty billion, eight hundred forty-seven million, three hundred four thousand, eight hundred sixty-four".