19798627305600 has 3840 divisors, whose sum is σ = 90129400099200. Its totient is φ = 4213820620800.

The previous prime is 19798627305593. The next prime is 19798627305601. The reversal of 19798627305600 is 650372689791.

19798627305600 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 8 + 62 + 7 + 3 + 0 + 560 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (19798627305601) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 121463971119 + ... + 121463971281.

Almost surely, 2^{19798627305600} is an apocalyptic number.

19798627305600 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 19798627305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45064700049600).

19798627305600 is an abundant number, since it is smaller than the sum of its proper divisors (70330772793600).

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

19798627305600 is a wasteful number, since it uses less digits than its factorization.

19798627305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 19798627305600 in words is "nineteen trillion, seven hundred ninety-eight billion, six hundred twenty-seven million, three hundred five thousand, six hundred".