4250806560 has 768 divisors, whose sum is σ = 19996139520. Its totient is φ = 814510080.

The previous prime is 4250806529. The next prime is 4250806591. The reversal of 4250806560 is 656080524.

4250806560 is a `hidden beast` number, since 42 + 50 + 8 + 0 + 6 + 560 = 666.

4250806560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4250806529) and next prime (4250806591).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323829 + ... + 4324811.

It is an arithmetic number, because the mean of its divisors is an integer number (26036640).

Almost surely, 2^4250806560 is an apocalyptic number.

4250806560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998069760).

4250806560 is an abundant number, since it is smaller than the sum of its proper divisors (15745332960).

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

4250806560 is a wasteful number, since it uses less digits than its factorization.

4250806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4250806560 is about 65198.2097913739. The cubic root of 4250806560 is about 1619.9083624434.

The spelling of 4250806560 in words is "four billion, two hundred fifty million, eight hundred six thousand, five hundred sixty".