19190070106000 has 80 divisors (see below), whose sum is σ = 46404444144240. Its totient is φ = 7675555814400.

The previous prime is 19190070105961. The next prime is 19190070106037. The reversal of 19190070106000 is 60107009191.

It can be written as a sum of positive squares in 8 ways, for example, as 984214789776 + 18205855316224 = 992076^2 + 4266832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33171222 + ... + 33744778.

It is an arithmetic number, because the mean of its divisors is an integer number (580055551803).

Almost surely, 2^{19190070106000} is an apocalyptic number.

19190070106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19190070106000 is an abundant number, since it is smaller than the sum of its proper divisors (27214374038240).

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

19190070106000 is a wasteful number, since it uses less digits than its factorization.

19190070106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590309 (or 590293 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The spelling of 19190070106000 in words is "nineteen trillion, one hundred ninety billion, seventy million, one hundred six thousand".