5287753120 has 144 divisors (see below), whose sum is σ = 13594627872. Its totient is φ = 1942686720.

The previous prime is 5287753109. The next prime is 5287753123. The reversal of 5287753120 is 213577825.

It is a happy number.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287753123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7651975 + ... + 7652665.

It is an arithmetic number, because the mean of its divisors is an integer number (94407138).

Almost surely, 2^5287753120 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 5287753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797313936).

5287753120 is an abundant number, since it is smaller than the sum of its proper divisors (8306874752).

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

5287753120 is a wasteful number, since it uses less digits than its factorization.

5287753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 5287753120 is about 72716.9383293879. The cubic root of 5287753120 is about 1742.1694347707.

The spelling of 5287753120 in words is "five billion, two hundred eighty-seven million, seven hundred fifty-three thousand, one hundred twenty".