18777242880 has 288 divisors, whose sum is σ = 72692161920. Its totient is φ = 4551966720.

The previous prime is 18777242863. The next prime is 18777242899. The reversal of 18777242880 is 8824277781.

18777242880 is a `hidden beast` number, since 1 + 8 + 77 + 72 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355464 + ... + 404856.

It is an arithmetic number, because the mean of its divisors is an integer number (252403340).

Almost surely, 2^18777242880 is an apocalyptic number.

18777242880 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 18777242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36346080960).

18777242880 is an abundant number, since it is smaller than the sum of its proper divisors (53914919040).

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

18777242880 is a wasteful number, since it uses less digits than its factorization.

18777242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49434 (or 49414 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 18777242880 in words is "eighteen billion, seven hundred seventy-seven million, two hundred forty-two thousand, eight hundred eighty".