18479777218560 has 2688 divisors, whose sum is σ = 81939855415680. Its totient is φ = 3909966888960.

The previous prime is 18479777218549. The next prime is 18479777218577. The reversal of 18479777218560 is 6581277797481.

18479777218560 is a `hidden beast` number, since 1 + 8 + 47 + 9 + 7 + 7 + 7 + 2 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 167 ways as a sum of consecutive naturals, for example, 596121845745 + ... + 596121845775.

Almost surely, 2^{18479777218560} is an apocalyptic number.

18479777218560 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 18479777218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40969927707840).

18479777218560 is an abundant number, since it is smaller than the sum of its proper divisors (63460078197120).

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

18479777218560 is an frugal number, since it uses more digits than its factorization.

18479777218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 18479777218560 in words is "eighteen trillion, four hundred seventy-nine billion, seven hundred seventy-seven million, two hundred eighteen thousand, five hundred sixty".