5025888000 has 720 divisors, whose sum is σ = 21451894464. Its totient is φ = 1144627200.

The previous prime is 5025887981. The next prime is 5025888001. The reversal of 5025888000 is 8885205.

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

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 (5025888001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143862 + ... + 18144138.

Almost surely, 2^5025888000 is an apocalyptic number.

5025888000 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 5025888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725947232).

5025888000 is an abundant number, since it is smaller than the sum of its proper divisors (16426006464).

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

5025888000 is an equidigital number, since it uses as much as digits as its factorization.

5025888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5025888000 is about 70893.4975861679. The cubic root of 5025888000 is about 1712.9220584030.

It can be divided in two parts, 5025 and 888000, that added together give a square (893025 = 945²).

The spelling of 5025888000 in words is "five billion, twenty-five million, eight hundred eighty-eight thousand".