8256249540 has 768 divisors, whose sum is σ = 34139750400. Its totient is φ = 1606348800.

The previous prime is 8256249539. The next prime is 8256249587. The reversal of 8256249540 is 459426528.

8256249540 is a `hidden beast` number, since 8 + 2 + 5 + 62 + 49 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49438537 + ... + 49438703.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 2^8256249540 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 8256249540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069875200).

8256249540 is an abundant number, since it is smaller than the sum of its proper divisors (25883500860).

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

8256249540 is a wasteful number, since it uses less digits than its factorization.

8256249540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8256249540 is about 90863.9066956732. The cubic root of 8256249540 is about 2021.1301015547.

The spelling of 8256249540 in words is "eight billion, two hundred fifty-six million, two hundred forty-nine thousand, five hundred forty".