19725800814720 has 5184 divisors, whose sum is σ = 100780837035840. Its totient is φ = 3584434913280.

The previous prime is 19725800814623. The next prime is 19725800814767. The reversal of 19725800814720 is 2741800852791.

19725800814720 is a `hidden beast` number, since 1 + 97 + 2 + 5 + 8 + 0 + 0 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1038200042871 + ... + 1038200042889.

It is an arithmetic number, because the mean of its divisors is an integer number (19440747885).

Almost surely, 2^{19725800814720} is an apocalyptic number.

19725800814720 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 19725800814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50390418517920).

19725800814720 is an abundant number, since it is smaller than the sum of its proper divisors (81055036221120).

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

19725800814720 is an equidigital number, since it uses as much as digits as its factorization.

19725800814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 19725800814720 in words is "nineteen trillion, seven hundred twenty-five billion, eight hundred million, eight hundred fourteen thousand, seven hundred twenty".