1865375216640 has 1056 divisors, whose sum is σ = 7439927223456. Its totient is φ = 428070666240.

The previous prime is 1865375216611. The next prime is 1865375216669. The reversal of 1865375216640 is 466125735681.

It is a happy number.

1865375216640 is a `hidden beast` number, since 1 + 8 + 6 + 53 + 7 + 521 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1865375216611) and next prime (1865375216669).

It can be written as a sum of positive squares in 16 ways, for example, as 766199107584 + 1099176109056 = 875328^2 + 1048416^2 .

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, 1150755030 + ... + 1150756650.

Almost surely, 2^{1865375216640} is an apocalyptic number.

1865375216640 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 1865375216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719963611728).

1865375216640 is an abundant number, since it is smaller than the sum of its proper divisors (5574552006816).

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

1865375216640 is a wasteful number, since it uses less digits than its factorization.

1865375216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1865375216640 in words is "one trillion, eight hundred sixty-five billion, three hundred seventy-five million, two hundred sixteen thousand, six hundred forty".