19869575094144 has 320 divisors, whose sum is σ = 61198364858400. Its totient is φ = 6395022213120.

The previous prime is 19869575094091. The next prime is 19869575094223. The reversal of 19869575094144 is 44149057596891.

19869575094144 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 9 + 575 + 0 + 9 + 4 + 1 + 44 = 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 39 ways as a sum of consecutive naturals, for example, 40992597 + ... + 41474475.

Almost surely, 2^{19869575094144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19869575094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30599182429200).

19869575094144 is an abundant number, since it is smaller than the sum of its proper divisors (41328789764256).

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

19869575094144 is an equidigital number, since it uses as much as digits as its factorization.

19869575094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482043 (or 482022 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 19869575094144 in words is "nineteen trillion, eight hundred sixty-nine billion, five hundred seventy-five million, ninety-four thousand, one hundred forty-four".