19979537760000 has 2160 divisors, whose sum is σ = 91893761383424. Its totient is φ = 4214716416000.

The previous prime is 19979537759983. The next prime is 19979537760011. The reversal of 19979537760000 is 6773597991.

19979537760000 is a `hidden beast` number, since 1 + 9 + 97 + 9 + 537 + 7 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19979537760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3538077177 + ... + 3538082823.

Almost surely, 2^{19979537760000} is an apocalyptic number.

19979537760000 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 19979537760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45946880691712).

19979537760000 is an abundant number, since it is smaller than the sum of its proper divisors (71914223623424).

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

19979537760000 is an frugal number, since it uses more digits than its factorization.

19979537760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 19979537760000 in words is "nineteen trillion, nine hundred seventy-nine billion, five hundred thirty-seven million, seven hundred sixty thousand".