19998779214960 has 2560 divisors, whose sum is σ = 90406586941440. Its totient is φ = 3950456832000.

The previous prime is 19998779214949. The next prime is 19998779214979. The reversal of 19998779214960 is 6941297789991.

19998779214960 is a `hidden beast` number, since 19 + 9 + 98 + 7 + 7 + 9 + 21 + 496 + 0 = 666.

It is a super-2 number, since 2×19998779214960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19998779214960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 33275838660 + ... + 33275839260.

It is an arithmetic number, because the mean of its divisors is an integer number (35315073024).

Almost surely, 2^{19998779214960} is an apocalyptic number.

19998779214960 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 19998779214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45203293470720).

19998779214960 is an abundant number, since it is smaller than the sum of its proper divisors (70407807726480).

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

19998779214960 is a wasteful number, since it uses less digits than its factorization.

19998779214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1111065984, while the sum is 81.

The spelling of 19998779214960 in words is "nineteen trillion, nine hundred ninety-eight billion, seven hundred seventy-nine million, two hundred fourteen thousand, nine hundred sixty".