5306787456 has 256 divisors, whose sum is σ = 15538728960. Its totient is φ = 1597833216.

The previous prime is 5306787443. The next prime is 5306787467. The reversal of 5306787456 is 6547876035.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 5306787399 and 5306787408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30674986 + ... + 30675158.

It is an arithmetic number, because the mean of its divisors is an integer number (60698160).

Almost surely, 2^5306787456 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 5306787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769364480).

5306787456 is an abundant number, since it is smaller than the sum of its proper divisors (10231941504).

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

5306787456 is a wasteful number, since it uses less digits than its factorization.

5306787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The square root of 5306787456 is about 72847.7004166913. The cubic root of 5306787456 is about 1744.2573617892.

The spelling of 5306787456 in words is "five billion, three hundred six million, seven hundred eighty-seven thousand, four hundred fifty-six".