19533078912144 has 320 divisors, whose sum is σ = 60309963915264. Its totient is φ = 5326405421568.

The previous prime is 19533078912097. The next prime is 19533078912199. The reversal of 19533078912144 is 44121987033591.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12825395767 + ... + 12825397289.

Almost surely, 2^{19533078912144} is an apocalyptic number.

19533078912144 is a gapful number since it is divisible by the number (14) 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 19533078912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30154981957632).

19533078912144 is an abundant number, since it is smaller than the sum of its proper divisors (40776885003120).

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

19533078912144 is a wasteful number, since it uses less digits than its factorization.

19533078912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 19533078912144 in words is "nineteen trillion, five hundred thirty-three billion, seventy-eight million, nine hundred twelve thousand, one hundred forty-four".