19869857280000 has 3510 divisors, whose sum is σ = 92165475563304. Its totient is φ = 4192321536000.

The previous prime is 19869857279959. The next prime is 19869857280011. The reversal of 19869857280000 is 8275896891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3510).

It is a super-2 number, since 2×19869857280000² (a number of 27 digits) contains 22 as substring.

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 19869857280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1528450559994 + ... + 1528450560006.

Almost surely, 2^{19869857280000} is an apocalyptic number.

19869857280000 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 19869857280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46082737781652).

19869857280000 is an abundant number, since it is smaller than the sum of its proper divisors (72295618283304).

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

19869857280000 is an frugal number, since it uses more digits than its factorization.

19869857280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

19869857280000 divided by its sum of digits (63) gives a square (315394560000 = 561600²).

The spelling of 19869857280000 in words is "nineteen trillion, eight hundred sixty-nine billion, eight hundred fifty-seven million, two hundred eighty thousand".