19928513779200 has 2160 divisors, whose sum is σ = 81018556386768. Its totient is φ = 4648845312000.

The previous prime is 19928513779177. The next prime is 19928513779211. The reversal of 19928513779200 is 297731582991.

19928513779200 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 8 + 51 + 377 + 9 + 200 = 666.

It is a super-2 number, since 2×19928513779200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 87790809487 + ... + 87790809713.

Almost surely, 2^{19928513779200} is an apocalyptic number.

19928513779200 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 19928513779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40509278193384).

19928513779200 is an abundant number, since it is smaller than the sum of its proper divisors (61090042607568).

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

19928513779200 is a wasteful number, since it uses less digits than its factorization.

19928513779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 19928513779200 in words is "nineteen trillion, nine hundred twenty-eight billion, five hundred thirteen million, seven hundred seventy-nine thousand, two hundred".