19901066094000 has 2400 divisors, whose sum is σ = 92972506378752. Its totient is φ = 4062804480000.

The previous prime is 19901066093897. The next prime is 19901066094011. The reversal of 19901066094000 is 49066010991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3199010890 + ... + 3199017110.

Almost surely, 2^{19901066094000} is an apocalyptic number.

19901066094000 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 19901066094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46486253189376).

19901066094000 is an abundant number, since it is smaller than the sum of its proper divisors (73071440284752).

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

19901066094000 is a wasteful number, since it uses less digits than its factorization.

19901066094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 19901066094000 in words is "nineteen trillion, nine hundred one billion, sixty-six million, ninety-four thousand".