5625375405664 has 96 divisors (see below), whose sum is σ = 12823207649280. Its totient is φ = 2379262699008.

The previous prime is 5625375405589. The next prime is 5625375405733. The reversal of 5625375405664 is 4665045735265.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5625375405599 and 5625375405608.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38983054 + ... + 39127090.

It is an arithmetic number, because the mean of its divisors is an integer number (133575079680).

Almost surely, 2^{5625375405664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625375405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411603824640).

5625375405664 is an abundant number, since it is smaller than the sum of its proper divisors (7197832243616).

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

5625375405664 is a wasteful number, since it uses less digits than its factorization.

5625375405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146340 (or 146332 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 58.

The spelling of 5625375405664 in words is "five trillion, six hundred twenty-five billion, three hundred seventy-five million, four hundred five thousand, six hundred sixty-four".