18428696985600 has 1512 divisors, whose sum is σ = 74968349968512. Its totient is φ = 4450575974400.

The previous prime is 18428696985571. The next prime is 18428696985617. The reversal of 18428696985600 is 658969682481.

18428696985600 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 8 + 6 + 9 + 6 + 9 + 8 + 5 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 70071091069 + ... + 70071091331.

Almost surely, 2^{18428696985600} is an apocalyptic number.

18428696985600 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 18428696985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37484174984256).

18428696985600 is an abundant number, since it is smaller than the sum of its proper divisors (56539652982912).

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

18428696985600 is an frugal number, since it uses more digits than its factorization.

18428696985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 18428696985600 in words is "eighteen trillion, four hundred twenty-eight billion, six hundred ninety-six million, nine hundred eighty-five thousand, six hundred".