18960777216 has 256 divisors, whose sum is σ = 58195080000. Its totient is φ = 6094061568.

The previous prime is 18960777203. The next prime is 18960777247. The reversal of 18960777216 is 61277706981.

18960777216 is a `hidden beast` number, since 1 + 8 + 9 + 607 + 7 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×18960777216² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25656975 + ... + 25657713.

Almost surely, 2^18960777216 is an apocalyptic number.

18960777216 is a gapful number since it is divisible by the number (16) 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 18960777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29097540000).

18960777216 is an abundant number, since it is smaller than the sum of its proper divisors (39234302784).

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

18960777216 is an frugal number, since it uses more digits than its factorization.

18960777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 18960777216 in words is "eighteen billion, nine hundred sixty million, seven hundred seventy-seven thousand, two hundred sixteen".