18820916904960 has 352 divisors, whose sum is σ = 67802425313280. Its totient is φ = 4950156312576.

The previous prime is 18820916904953. The next prime is 18820916904961. The reversal of 18820916904960 is 6940961902881.

18820916904960 is a `hidden beast` number, since 1 + 8 + 82 + 0 + 9 + 1 + 69 + 0 + 496 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (18820916904961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9159009 + ... + 11024031.

Almost surely, 2^{18820916904960} is an apocalyptic number.

18820916904960 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 18820916904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33901212656640).

18820916904960 is an abundant number, since it is smaller than the sum of its proper divisors (48981508408320).

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

18820916904960 is a wasteful number, since it uses less digits than its factorization.

18820916904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865130 (or 1865106 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 18820916904960 in words is "eighteen trillion, eight hundred twenty billion, nine hundred sixteen million, nine hundred four thousand, nine hundred sixty".