5256276480 has 960 divisors, whose sum is σ = 23593489920. Its totient is φ = 1051066368.

The previous prime is 5256276463. The next prime is 5256276491. The reversal of 5256276480 is 846726525.

5256276480 is a `hidden beast` number, since 5 + 2 + 562 + 7 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48222666 + ... + 48222774.

It is an arithmetic number, because the mean of its divisors is an integer number (24576552).

Almost surely, 2^5256276480 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 5256276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

5256276480 is an abundant number, since it is smaller than the sum of its proper divisors (18337213440).

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

5256276480 is a wasteful number, since it uses less digits than its factorization.

5256276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5256276480 is about 72500.1826204597. The cubic root of 5256276480 is about 1738.7056565125.

The spelling of 5256276480 in words is "five billion, two hundred fifty-six million, two hundred seventy-six thousand, four hundred eighty".