1725122060640 has 288 divisors, whose sum is σ = 6531012633600. Its totient is φ = 411122856960.

The previous prime is 1725122060639. The next prime is 1725122060647. The reversal of 1725122060640 is 460602215271.

It is a happy number.

1725122060640 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 1 + 2 + 2 + 0 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1725122060640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1725122060595 and 1725122060604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1725122060647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11601 + ... + 1857519.

It is an arithmetic number, because the mean of its divisors is an integer number (22677127200).

Almost surely, 2^{1725122060640} is an apocalyptic number.

1725122060640 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 1725122060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265506316800).

1725122060640 is an abundant number, since it is smaller than the sum of its proper divisors (4805890572960).

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

1725122060640 is a wasteful number, since it uses less digits than its factorization.

1725122060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846010 (or 1845999 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1725122060640 in words is "one trillion, seven hundred twenty-five billion, one hundred twenty-two million, sixty thousand, six hundred forty".