18779957380080 has 800 divisors, whose sum is σ = 71154018226368. Its totient is φ = 4563081216000.

The previous prime is 18779957380039. The next prime is 18779957380111. The reversal of 18779957380080 is 8008375997781.

It is a happy number.

18779957380080 is a `hidden beast` number, since 1 + 87 + 7 + 9 + 95 + 7 + 380 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18779957379990 and 18779957380008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2952356100 + ... + 2952362460.

Almost surely, 2^{18779957380080} is an apocalyptic number.

18779957380080 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 18779957380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35577009113184).

18779957380080 is an abundant number, since it is smaller than the sum of its proper divisors (52374060846288).

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

18779957380080 is a wasteful number, since it uses less digits than its factorization.

18779957380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 18779957380080 in words is "eighteen trillion, seven hundred seventy-nine billion, nine hundred fifty-seven million, three hundred eighty thousand, eighty".