1855201801680 has 320 divisors, whose sum is σ = 6630534547200. Its totient is φ = 476212746240.

The previous prime is 1855201801613. The next prime is 1855201801799. The reversal of 1855201801680 is 861081025581.

1855201801680 is a `hidden beast` number, since 1 + 8 + 552 + 0 + 1 + 8 + 0 + 16 + 80 = 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 63 ways as a sum of consecutive naturals, for example, 20689102 + ... + 20778578.

It is an arithmetic number, because the mean of its divisors is an integer number (20720420460).

Almost surely, 2^{1855201801680} is an apocalyptic number.

1855201801680 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 1855201801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315267273600).

1855201801680 is an abundant number, since it is smaller than the sum of its proper divisors (4775332745520).

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

1855201801680 is a wasteful number, since it uses less digits than its factorization.

1855201801680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89859 (or 89847 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 1855201801680 in words is "one trillion, eight hundred fifty-five billion, two hundred one million, eight hundred one thousand, six hundred eighty".