10819485576 has 224 divisors, whose sum is σ = 32751307800. Its totient is φ = 3336837120.

The previous prime is 10819485569. The next prime is 10819485577. The reversal of 10819485576 is 67558491801.

It is a happy number.

10819485576 is a `hidden beast` number, since 1 + 0 + 81 + 9 + 4 + 8 + 557 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10034028900 + 785456676 = 100170^2 + 28026^2 .

It is a super-2 number, since 2×10819485576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10819485577) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6046890 + ... + 6048678.

Almost surely, 2^10819485576 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 10819485576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375653900).

10819485576 is an abundant number, since it is smaller than the sum of its proper divisors (21931822224).

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

10819485576 is a wasteful number, since it uses less digits than its factorization.

10819485576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10819485576 in words is "ten billion, eight hundred nineteen million, four hundred eighty-five thousand, five hundred seventy-six".