1726561465920 has 448 divisors, whose sum is σ = 6130371686400. Its totient is φ = 457445283840.

The previous prime is 1726561465901. The next prime is 1726561465943. The reversal of 1726561465920 is 295641656271.

1726561465920 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 5 + 6 + 1 + 46 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093451691 + ... + 1093453269.

Almost surely, 2^{1726561465920} is an apocalyptic number.

1726561465920 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 1726561465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065185843200).

1726561465920 is an abundant number, since it is smaller than the sum of its proper divisors (4403810220480).

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

1726561465920 is a wasteful number, since it uses less digits than its factorization.

1726561465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1726561465920 in words is "one trillion, seven hundred twenty-six billion, five hundred sixty-one million, four hundred sixty-five thousand, nine hundred twenty".