1836580040352 has 192 divisors, whose sum is σ = 5450731211520. Its totient is φ = 601505049600.

The previous prime is 1836580040333. The next prime is 1836580040381. The reversal of 1836580040352 is 2530400856381.

1836580040352 is a `hidden beast` number, since 1 + 8 + 36 + 580 + 0 + 4 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1836580040298 and 1836580040307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17922702 + ... + 18024882.

It is an arithmetic number, because the mean of its divisors is an integer number (28389225060).

Almost surely, 2^{1836580040352} is an apocalyptic number.

1836580040352 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 1836580040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725365605760).

1836580040352 is an abundant number, since it is smaller than the sum of its proper divisors (3614151171168).

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

1836580040352 is a wasteful number, since it uses less digits than its factorization.

1836580040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102564 (or 102550 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1836580040352 in words is "one trillion, eight hundred thirty-six billion, five hundred eighty million, forty thousand, three hundred fifty-two".