19799672785200 has 1080 divisors, whose sum is σ = 87472379021040. Its totient is φ = 4101111705600.

The previous prime is 19799672785199. The next prime is 19799672785231. The reversal of 19799672785200 is 258727699791.

19799672785200 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 96 + 7 + 2 + 7 + 8 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 615090706 + ... + 615122894.

It is an arithmetic number, because the mean of its divisors is an integer number (80992943538).

Almost surely, 2^{19799672785200} is an apocalyptic number.

19799672785200 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 19799672785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43736189510520).

19799672785200 is an abundant number, since it is smaller than the sum of its proper divisors (67672706235840).

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

19799672785200 is a wasteful number, since it uses less digits than its factorization.

19799672785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32555 (or 32534 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 19799672785200 in words is "nineteen trillion, seven hundred ninety-nine billion, six hundred seventy-two million, seven hundred eighty-five thousand, two hundred".