1813360106250 has 1152 divisors, whose sum is σ = 6486064865280. Its totient is φ = 354974400000.

The previous prime is 1813360106249. The next prime is 1813360106293. The reversal of 1813360106250 is 526010633181.

1813360106250 is a `hidden beast` number, since 1 + 8 + 13 + 3 + 6 + 0 + 10 + 625 + 0 = 666.

It is a super-2 number, since 2×1813360106250² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10858443667 + ... + 10858443833.

It is an arithmetic number, because the mean of its divisors is an integer number (5630264640).

Almost surely, 2^{1813360106250} is an apocalyptic number.

1813360106250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813360106250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243032432640).

1813360106250 is an abundant number, since it is smaller than the sum of its proper divisors (4672704759030).

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

1813360106250 is a wasteful number, since it uses less digits than its factorization.

1813360106250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1813360106250 in words is "one trillion, eight hundred thirteen billion, three hundred sixty million, one hundred six thousand, two hundred fifty".