4857550560 has 288 divisors, whose sum is σ = 17374567392. Its totient is φ = 1281484800.

The previous prime is 4857550493. The next prime is 4857550561. The reversal of 4857550560 is 650557584.

4857550560 is a `hidden beast` number, since 4 + 85 + 7 + 5 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4857550560³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4857550561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926262 + ... + 3927498.

It is an arithmetic number, because the mean of its divisors is an integer number (60328359).

Almost surely, 2^4857550560 is an apocalyptic number.

4857550560 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 4857550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687283696).

4857550560 is an abundant number, since it is smaller than the sum of its proper divisors (12517016832).

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

4857550560 is a wasteful number, since it uses less digits than its factorization.

4857550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 4857550560 is about 69696.1301651677. The cubic root of 4857550560 is about 1693.5802348697.

The spelling of 4857550560 in words is "four billion, eight hundred fifty-seven million, five hundred fifty thousand, five hundred sixty".