19785248158080 has 512 divisors, whose sum is σ = 64538919244800. Its totient is φ = 5154047262720.

The previous prime is 19785248157991. The next prime is 19785248158171. The reversal of 19785248158080 is 8085184258791.

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, 15254623992 + ... + 15254625288.

It is an arithmetic number, because the mean of its divisors is an integer number (126052576650).

Almost surely, 2^{19785248158080} is an apocalyptic number.

19785248158080 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 19785248158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32269459622400).

19785248158080 is an abundant number, since it is smaller than the sum of its proper divisors (44753671086720).

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

19785248158080 is a wasteful number, since it uses less digits than its factorization.

19785248158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 66.

The spelling of 19785248158080 in words is "nineteen trillion, seven hundred eighty-five billion, two hundred forty-eight million, one hundred fifty-eight thousand, eighty".