5625600000 has 288 divisors, whose sum is σ = 18810202320. Its totient is φ = 1495040000.

The previous prime is 5625599989. The next prime is 5625600017. The reversal of 5625600000 is 65265.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19199854 + ... + 19200146.

Almost surely, 2^5625600000 is an apocalyptic number.

5625600000 is a gapful number since it is divisible by the number (50) 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 5625600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405101160).

5625600000 is an abundant number, since it is smaller than the sum of its proper divisors (13184602320).

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

5625600000 is an frugal number, since it uses more digits than its factorization.

5625600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5625600000 is about 75003.9998933390. Note that the first 3 decimals coincide. The cubic root of 5625600000 is about 1778.5098836556.

Adding to 5625600000 its reverse (65265), we get a palindrome (5625665265).

It can be divided in two parts, 5625 and 600000, that multiplied together give a cube (3375000000 = 1500³).

The spelling of 5625600000 in words is "five billion, six hundred twenty-five million, six hundred thousand".