1725136807680 has 1440 divisors, whose sum is σ = 7568826693120. Its totient is φ = 369187061760.

The previous prime is 1725136807679. The next prime is 1725136807687. The reversal of 1725136807680 is 867086315271.

It is a happy number.

1725136807680 is a `hidden beast` number, since 1 + 7 + 2 + 513 + 68 + 0 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1725136807687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 341000991 + ... + 341006049.

It is an arithmetic number, because the mean of its divisors is an integer number (5256129648).

Almost surely, 2^{1725136807680} is an apocalyptic number.

1725136807680 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 1725136807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784413346560).

1725136807680 is an abundant number, since it is smaller than the sum of its proper divisors (5843689885440).

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

1725136807680 is a wasteful number, since it uses less digits than its factorization.

1725136807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1725136807680 in words is "one trillion, seven hundred twenty-five billion, one hundred thirty-six million, eight hundred seven thousand, six hundred eighty".