1095828469632 has 768 divisors, whose sum is σ = 3741562368000. Its totient is φ = 314898554880.

The previous prime is 1095828469613. The next prime is 1095828469639. The reversal of 1095828469632 is 2369648285901.

1095828469632 is a `hidden beast` number, since 1 + 0 + 9 + 582 + 8 + 46 + 9 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×1095828469632² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1095828469632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1095828469639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525072493 + ... + 525074579.

It is an arithmetic number, because the mean of its divisors is an integer number (4871826000).

Almost surely, 2^{1095828469632} is an apocalyptic number.

1095828469632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095828469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870781184000).

1095828469632 is an abundant number, since it is smaller than the sum of its proper divisors (2645733898368).

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

1095828469632 is a wasteful number, since it uses less digits than its factorization.

1095828469632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 1095828469632 in words is "one trillion, ninety-five billion, eight hundred twenty-eight million, four hundred sixty-nine thousand, six hundred thirty-two".