19945521025920 has 1536 divisors, whose sum is σ = 83424869498880. Its totient is φ = 4459792048128.

The previous prime is 19945521025901. The next prime is 19945521025931. The reversal of 19945521025920 is 2952012554991.

19945521025920 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 5 + 521 + 0 + 25 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9668210809 + ... + 9668212871.

It is an arithmetic number, because the mean of its divisors is an integer number (54313066080).

Almost surely, 2^{19945521025920} is an apocalyptic number.

19945521025920 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 19945521025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41712434749440).

19945521025920 is an abundant number, since it is smaller than the sum of its proper divisors (63479348472960).

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

19945521025920 is a wasteful number, since it uses less digits than its factorization.

19945521025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 19945521025920 in words is "nineteen trillion, nine hundred forty-five billion, five hundred twenty-one million, twenty-five thousand, nine hundred twenty".