19468578904320 has 1152 divisors, whose sum is σ = 78549749720064. Its totient is φ = 4000214679552.

The previous prime is 19468578904297. The next prime is 19468578904321. The reversal of 19468578904320 is 2340987586491.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19468578904321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2537280004 + ... + 2537287676.

It is an arithmetic number, because the mean of its divisors is an integer number (68185546632).

It is a 1-persistent number, because it is pandigital, but 2⋅19468578904320 = 38937157808640 is not.

Almost surely, 2^{19468578904320} is an apocalyptic number.

19468578904320 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 19468578904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39274874860032).

19468578904320 is an abundant number, since it is smaller than the sum of its proper divisors (59081170815744).

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

19468578904320 is a wasteful number, since it uses less digits than its factorization.

19468578904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 19468578904320 in words is "nineteen trillion, four hundred sixty-eight billion, five hundred seventy-eight million, nine hundred four thousand, three hundred twenty".