1825095162240 has 768 divisors, whose sum is σ = 7489460160000. Its totient is φ = 416043122688.

The previous prime is 1825095162119. The next prime is 1825095162251. The reversal of 1825095162240 is 422615905281.

1825095162240 is a `hidden beast` number, since 1 + 82 + 50 + 9 + 516 + 2 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445251711 + ... + 445255809.

It is an arithmetic number, because the mean of its divisors is an integer number (9751901250).

Almost surely, 2^{1825095162240} is an apocalyptic number.

1825095162240 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 1825095162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744730080000).

1825095162240 is an abundant number, since it is smaller than the sum of its proper divisors (5664364997760).

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

1825095162240 is an equidigital number, since it uses as much as digits as its factorization.

1825095162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1825095162240 in words is "one trillion, eight hundred twenty-five billion, ninety-five million, one hundred sixty-two thousand, two hundred forty".