4859489194560 has 2688 divisors, whose sum is σ = 23485303296000. Its totient is φ = 923624570880.

The previous prime is 4859489194559. The next prime is 4859489194561. The reversal of 4859489194560 is 654919849584.

4859489194560 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 48 + 9 + 19 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4859489194559) and next prime (4859489194561).

It is a super-3 number, since 3×4859489194560³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4859489194561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11597826031 + ... + 11597826449.

It is an arithmetic number, because the mean of its divisors is an integer number (8737092000).

Almost surely, 2^{4859489194560} is an apocalyptic number.

4859489194560 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 4859489194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742651648000).

4859489194560 is an abundant number, since it is smaller than the sum of its proper divisors (18625814101440).

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

4859489194560 is a wasteful number, since it uses less digits than its factorization.

4859489194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 4859489194560 in words is "four trillion, eight hundred fifty-nine billion, four hundred eighty-nine million, one hundred ninety-four thousand, five hundred sixty".