4375285858800 has 720 divisors, whose sum is σ = 16699251179520. Its totient is φ = 1096318955520.

The previous prime is 4375285858777. The next prime is 4375285858847. The reversal of 4375285858800 is 88585825734.

It is a happy number.

4375285858800 is a `hidden beast` number, since 4 + 3 + 7 + 528 + 58 + 58 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1221121809 + ... + 1221125391.

It is an arithmetic number, because the mean of its divisors is an integer number (23193404416).

Almost surely, 2^{4375285858800} is an apocalyptic number.

4375285858800 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 4375285858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349625589760).

4375285858800 is an abundant number, since it is smaller than the sum of its proper divisors (12323965320720).

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

4375285858800 is a wasteful number, since it uses less digits than its factorization.

4375285858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 4375285858800 in words is "four trillion, three hundred seventy-five billion, two hundred eighty-five million, eight hundred fifty-eight thousand, eight hundred".