19766225521120 has 144 divisors (see below), whose sum is σ = 51051660797088. Its totient is φ = 7189365427200.

The previous prime is 19766225521087. The next prime is 19766225521157. The reversal of 19766225521120 is 2112552266791.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8278645 + ... + 10395595.

It is an arithmetic number, because the mean of its divisors is an integer number (354525422202).

Almost surely, 2^{19766225521120} is an apocalyptic number.

19766225521120 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 19766225521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525830398544).

19766225521120 is an abundant number, since it is smaller than the sum of its proper divisors (31285435275968).

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

19766225521120 is a wasteful number, since it uses less digits than its factorization.

19766225521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117113 (or 2117038 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 19766225521120 in words is "nineteen trillion, seven hundred sixty-six billion, two hundred twenty-five million, five hundred twenty-one thousand, one hundred twenty".