19779997749120 has 3072 divisors, whose sum is σ = 88742216908800. Its totient is φ = 3955831603200.

The previous prime is 19779997749101. The next prime is 19779997749179. The reversal of 19779997749120 is 2194779997791.

It is a happy number.

19779997749120 is a `hidden beast` number, since 19 + 7 + 7 + 9 + 9 + 97 + 7 + 491 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19779997749120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 109281755430 + ... + 109281755610.

It is an arithmetic number, because the mean of its divisors is an integer number (28887440400).

Almost surely, 2^{19779997749120} is an apocalyptic number.

19779997749120 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 19779997749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44371108454400).

19779997749120 is an abundant number, since it is smaller than the sum of its proper divisors (68962219159680).

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

19779997749120 is a wasteful number, since it uses less digits than its factorization.

19779997749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1134213192, while the sum is 81.

The spelling of 19779997749120 in words is "nineteen trillion, seven hundred seventy-nine billion, nine hundred ninety-seven million, seven hundred forty-nine thousand, one hundred twenty".