4252356487680 has 320 divisors, whose sum is σ = 15551112665088. Its totient is φ = 971039784960.

The previous prime is 4252356487679. The next prime is 4252356487721. The reversal of 4252356487680 is 867846532524.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57109675 + ... + 57184085.

Almost surely, 2^{4252356487680} is an apocalyptic number.

4252356487680 is a gapful number since it is divisible by the number (40) 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 4252356487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775556332544).

4252356487680 is an abundant number, since it is smaller than the sum of its proper divisors (11298756177408).

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

4252356487680 is a wasteful number, since it uses less digits than its factorization.

4252356487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75507 (or 75491 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 4252356487680 in words is "four trillion, two hundred fifty-two billion, three hundred fifty-six million, four hundred eighty-seven thousand, six hundred eighty".