5625506016 has 288 divisors, whose sum is σ = 18727188480. Its totient is φ = 1586304000.

The previous prime is 5625505993. The next prime is 5625506017. The reversal of 5625506016 is 6106055265.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625506017) 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, 2203941 + ... + 2206491.

It is an arithmetic number, because the mean of its divisors is an integer number (65024960).

Almost surely, 2^5625506016 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 5625506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363594240).

5625506016 is an abundant number, since it is smaller than the sum of its proper divisors (13101682464).

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

5625506016 is a wasteful number, since it uses less digits than its factorization.

5625506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5625506016 is about 75003.3733641361. The cubic root of 5625506016 is about 1778.4999793844.

The spelling of 5625506016 in words is "five billion, six hundred twenty-five million, five hundred six thousand, sixteen".