4862061056160 has 576 divisors, whose sum is σ = 21108043756800. Its totient is φ = 1010297272320.

The previous prime is 4862061056117. The next prime is 4862061056183. The reversal of 4862061056160 is 616501602684.

4862061056160 is a `hidden beast` number, since 4 + 8 + 6 + 20 + 6 + 1 + 0 + 5 + 616 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4985674 + ... + 5880566.

It is an arithmetic number, because the mean of its divisors is an integer number (36645909300).

Almost surely, 2^{4862061056160} is an apocalyptic number.

4862061056160 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 4862061056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554021878400).

4862061056160 is an abundant number, since it is smaller than the sum of its proper divisors (16245982700640).

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

4862061056160 is a wasteful number, since it uses less digits than its factorization.

4862061056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894946 (or 894921 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4862061056160 in words is "four trillion, eight hundred sixty-two billion, sixty-one million, fifty-six thousand, one hundred sixty".