18557377891920 has 480 divisors, whose sum is σ = 76884554073600. Its totient is φ = 3917358821376.

The previous prime is 18557377891799. The next prime is 18557377891931. The reversal of 18557377891920 is 2919877375581.

18557377891920 is a `hidden beast` number, since 1 + 8 + 557 + 37 + 7 + 8 + 9 + 19 + 20 = 666.

It is a super-3 number, since 3×18557377891920³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601546 + ... + 6121814.

It is an arithmetic number, because the mean of its divisors is an integer number (160176154320).

Almost surely, 2^{18557377891920} is an apocalyptic number.

18557377891920 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 18557377891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38442277036800).

18557377891920 is an abundant number, since it is smaller than the sum of its proper divisors (58327176181680).

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

18557377891920 is a wasteful number, since it uses less digits than its factorization.

18557377891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520347 (or 5520338 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 18557377891920 in words is "eighteen trillion, five hundred fifty-seven billion, three hundred seventy-seven million, eight hundred ninety-one thousand, nine hundred twenty".