19495578484480 has 288 divisors, whose sum is σ = 53870787532800. Its totient is φ = 6621581869056.

The previous prime is 19495578484469. The next prime is 19495578484483. The reversal of 19495578484480 is 8448487559491.

It is a junction number, because it is equal to n+sod(n) for n = 19495578484397 and 19495578484406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19495578484483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576621816 + ... + 576655624.

It is an arithmetic number, because the mean of its divisors is an integer number (187051345600).

Almost surely, 2^{19495578484480} is an apocalyptic number.

19495578484480 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 19495578484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935393766400).

19495578484480 is an abundant number, since it is smaller than the sum of its proper divisors (34375209048320).

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

19495578484480 is a wasteful number, since it uses less digits than its factorization.

19495578484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34439 (or 34425 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 76.

The spelling of 19495578484480 in words is "nineteen trillion, four hundred ninety-five billion, five hundred seventy-eight million, four hundred eighty-four thousand, four hundred eighty".