4859060355072 has 1088 divisors, whose sum is σ = 18904422758400. Its totient is φ = 1195030609920.

The previous prime is 4859060355067. The next prime is 4859060355103. The reversal of 4859060355072 is 2705530609584.

4859060355072 is a `hidden beast` number, since 4 + 85 + 9 + 0 + 6 + 0 + 3 + 550 + 7 + 2 = 666.

It is a super-2 number, since 2×4859060355072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2588736598 + ... + 2588738474.

Almost surely, 2^{4859060355072} is an apocalyptic number.

4859060355072 is a gapful number since it is divisible by the number (42) 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 4859060355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452211379200).

4859060355072 is an abundant number, since it is smaller than the sum of its proper divisors (14045362403328).

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

4859060355072 is a wasteful number, since it uses less digits than its factorization.

4859060355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4859060355072 in words is "four trillion, eight hundred fifty-nine billion, sixty million, three hundred fifty-five thousand, seventy-two".