19725280831872 has 1024 divisors, whose sum is σ = 73723067136000. Its totient is φ = 5043207536640.

The previous prime is 19725280831847. The next prime is 19725280831891. The reversal of 19725280831872 is 27813808252791.

19725280831872 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 528 + 0 + 8 + 31 + 8 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18046916958 + ... + 18046918050.

It is an arithmetic number, because the mean of its divisors is an integer number (71995182750).

Almost surely, 2^{19725280831872} is an apocalyptic number.

19725280831872 is a gapful number since it is divisible by the number (12) 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 19725280831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36861533568000).

19725280831872 is an abundant number, since it is smaller than the sum of its proper divisors (53997786304128).

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

19725280831872 is a wasteful number, since it uses less digits than its factorization.

19725280831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 19725280831872 in words is "nineteen trillion, seven hundred twenty-five billion, two hundred eighty million, eight hundred thirty-one thousand, eight hundred seventy-two".