1855206872064 has 1980 divisors, whose sum is σ = 7265148148764. Its totient is φ = 469540012032.

The previous prime is 1855206872021. The next prime is 1855206872081. The reversal of 1855206872064 is 4602786025581.

1855206872064 is a `hidden beast` number, since 1 + 8 + 552 + 0 + 6 + 8 + 7 + 20 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30762353664 + 1824444518400 = 175392^2 + 1350720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1855206872064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25413792732 + ... + 25413792804.

Almost surely, 2^{1855206872064} is an apocalyptic number.

1855206872064 is a gapful number since it is divisible by the number (14) 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 1855206872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632574074382).

1855206872064 is an abundant number, since it is smaller than the sum of its proper divisors (5409941276700).

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

1855206872064 is a wasteful number, since it uses less digits than its factorization.

1855206872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1855206872064 in words is "one trillion, eight hundred fifty-five billion, two hundred six million, eight hundred seventy-two thousand, sixty-four".