19855829145600 has 864 divisors, whose sum is σ = 83891300613120. Its totient is φ = 4392050688000.

The previous prime is 19855829145547. The next prime is 19855829145683. The reversal of 19855829145600 is 654192855891.

19855829145600 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 8 + 2 + 9 + 14 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 99894315 + ... + 100092885.

Almost surely, 2^{19855829145600} is an apocalyptic number.

19855829145600 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 19855829145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41945650306560).

19855829145600 is an abundant number, since it is smaller than the sum of its proper divisors (64035471467520).

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

19855829145600 is a wasteful number, since it uses less digits than its factorization.

19855829145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198647 (or 198619 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 19855829145600 in words is "nineteen trillion, eight hundred fifty-five billion, eight hundred twenty-nine million, one hundred forty-five thousand, six hundred".