18378895835520 has 768 divisors, whose sum is σ = 71908482240000. Its totient is φ = 4433000140800.

The previous prime is 18378895835497. The next prime is 18378895835579. The reversal of 18378895835520 is 2553859887381.

18378895835520 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 8 + 8 + 95 + 8 + 3 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416063035 + ... + 416107205.

It is an arithmetic number, because the mean of its divisors is an integer number (93630836250).

Almost surely, 2^{18378895835520} is an apocalyptic number.

18378895835520 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 18378895835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35954241120000).

18378895835520 is an abundant number, since it is smaller than the sum of its proper divisors (53529586404480).

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

18378895835520 is a wasteful number, since it uses less digits than its factorization.

18378895835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44420 (or 44391 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 18378895835520 in words is "eighteen trillion, three hundred seventy-eight billion, eight hundred ninety-five million, eight hundred thirty-five thousand, five hundred twenty".