5251164480 has 168 divisors, whose sum is σ = 18309973032. Its totient is φ = 1381072896.

The previous prime is 5251164469. The next prime is 5251164509. The reversal of 5251164480 is 844611525.

It is a happy number.

5251164480 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 1 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 5246394624 = 2184^2 + 72432^2 .

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

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, 197752 + ... + 222728.

Almost surely, 2^5251164480 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 5251164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154986516).

5251164480 is an abundant number, since it is smaller than the sum of its proper divisors (13058808552).

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

5251164480 is a wasteful number, since it uses less digits than its factorization.

5251164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25073 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5251164480 is about 72464.9189608324. The cubic root of 5251164480 is about 1738.1418133725.

The spelling of 5251164480 in words is "five billion, two hundred fifty-one million, one hundred sixty-four thousand, four hundred eighty".