19132951459072 has 144 divisors (see below), whose sum is σ = 42358595751360. Its totient is φ = 8551699660800.

The previous prime is 19132951459057. The next prime is 19132951459093. The reversal of 19132951459072 is 27095415923191.

19132951459072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19132951459072² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19132951458998 and 19132951459016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658402879 + ... + 658431937.

It is an arithmetic number, because the mean of its divisors is an integer number (294156914940).

Almost surely, 2^{19132951459072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19132951459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179297875680).

19132951459072 is an abundant number, since it is smaller than the sum of its proper divisors (23225644292288).

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

19132951459072 is a wasteful number, since it uses less digits than its factorization.

19132951459072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32980 (or 32966 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 58.

The spelling of 19132951459072 in words is "nineteen trillion, one hundred thirty-two billion, nine hundred fifty-one million, four hundred fifty-nine thousand, seventy-two".