19984045578375 has 64 divisors (see below), whose sum is σ = 33383645568000. Its totient is φ = 10616452387200.

The previous prime is 19984045578337. The next prime is 19984045578383. The reversal of 19984045578375 is 57387554048991.

It is not a de Polignac number, because 19984045578375 - 2⁹ = 19984045577863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 19984045578297 and 19984045578306.

It is a congruent number.

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, 363431134 + ... + 363486116.

It is an arithmetic number, because the mean of its divisors is an integer number (521619462000).

Almost surely, 2^{19984045578375} is an apocalyptic number.

19984045578375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19984045578375 is a deficient number, since it is larger than the sum of its proper divisors (13399599989625).

19984045578375 is a wasteful number, since it uses less digits than its factorization.

19984045578375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58777 (or 58767 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 75.

The spelling of 19984045578375 in words is "nineteen trillion, nine hundred eighty-four billion, forty-five million, five hundred seventy-eight thousand, three hundred seventy-five".