19675666145520 has 2880 divisors, whose sum is σ = 92846297456640. Its totient is φ = 3748324377600.

The previous prime is 19675666145483. The next prime is 19675666145521. The reversal of 19675666145520 is 2554166657691.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19675666145521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 634698907905 + ... + 634698907935.

It is an arithmetic number, because the mean of its divisors is an integer number (32238297728).

Almost surely, 2^{19675666145520} is an apocalyptic number.

19675666145520 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 19675666145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46423148728320).

19675666145520 is an abundant number, since it is smaller than the sum of its proper divisors (73170631311120).

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

19675666145520 is a wasteful number, since it uses less digits than its factorization.

19675666145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 19675666145520 in words is "nineteen trillion, six hundred seventy-five billion, six hundred sixty-six million, one hundred forty-five thousand, five hundred twenty".