1723268505420 has 672 divisors, whose sum is σ = 6795204433920. Its totient is φ = 356464903680.

The previous prime is 1723268505407. The next prime is 1723268505443. The reversal of 1723268505420 is 245058623271.

1723268505420 is a `hidden beast` number, since 1 + 7 + 2 + 3 + 26 + 85 + 0 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 257085789 + ... + 257092491.

It is an arithmetic number, because the mean of its divisors is an integer number (10111911360).

Almost surely, 2^{1723268505420} is an apocalyptic number.

1723268505420 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 1723268505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397602216960).

1723268505420 is an abundant number, since it is smaller than the sum of its proper divisors (5071935928500).

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

1723268505420 is a wasteful number, since it uses less digits than its factorization.

1723268505420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1723268505420 in words is "one trillion, seven hundred twenty-three billion, two hundred sixty-eight million, five hundred five thousand, four hundred twenty".