19268378064000 has 1024 divisors, whose sum is σ = 79754864716800. Its totient is φ = 4536738201600.

The previous prime is 19268378063999. The next prime is 19268378064031. The reversal of 19268378064000 is 46087386291.

19268378064000 is a `hidden beast` number, since 1 + 9 + 268 + 378 + 0 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129093414 + ... + 129242586.

It is an arithmetic number, because the mean of its divisors is an integer number (77885610075).

Almost surely, 2^{19268378064000} is an apocalyptic number.

19268378064000 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 19268378064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877432358400).

19268378064000 is an abundant number, since it is smaller than the sum of its proper divisors (60486486652800).

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

19268378064000 is a wasteful number, since it uses less digits than its factorization.

19268378064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149247 (or 149219 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 19268378064000 in words is "nineteen trillion, two hundred sixty-eight billion, three hundred seventy-eight million, sixty-four thousand".