1162819825420 has 96 divisors (see below), whose sum is σ = 2705270400000. Its totient is φ = 416296070400.

The previous prime is 1162819825397. The next prime is 1162819825457. The reversal of 1162819825420 is 245289182611.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11022081 + ... + 11127079.

It is an arithmetic number, because the mean of its divisors is an integer number (28179900000).

Almost surely, 2^{1162819825420} is an apocalyptic number.

1162819825420 is a gapful number since it is divisible by the number (10) 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 1162819825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352635200000).

1162819825420 is an abundant number, since it is smaller than the sum of its proper divisors (1542450574580).

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

1162819825420 is a wasteful number, since it uses less digits than its factorization.

1162819825420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105799 (or 105797 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 1162819825420 in words is "one trillion, one hundred sixty-two billion, eight hundred nineteen million, eight hundred twenty-five thousand, four hundred twenty".