1825195680 has 960 divisors, whose sum is σ = 8430428160. Its totient is φ = 360806400.

The previous prime is 1825195679. The next prime is 1825195721. The reversal of 1825195680 is 865915281.

It is a happy number.

1825195680 is a `hidden beast` number, since 1 + 8 + 2 + 519 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30935491 + ... + 30935549.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^1825195680 is an apocalyptic number.

1825195680 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 1825195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215214080).

1825195680 is an abundant number, since it is smaller than the sum of its proper divisors (6605232480).

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

1825195680 is a wasteful number, since it uses less digits than its factorization.

1825195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1825195680 is about 42722.3089263677. The cubic root of 1825195680 is about 1222.0898695740.

The spelling of 1825195680 in words is "one billion, eight hundred twenty-five million, one hundred ninety-five thousand, six hundred eighty".