600556461120 has 672 divisors, whose sum is σ = 2594034293760. Its totient is φ = 123886817280.

The previous prime is 600556461103. The next prime is 600556461133. The reversal of 600556461120 is 21164655006.

600556461120 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 5 + 646 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30814899 + ... + 30834381.

It is an arithmetic number, because the mean of its divisors is an integer number (3860170080).

Almost surely, 2^600556461120 is an apocalyptic number.

600556461120 is a gapful number since it is divisible by the number (60) 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 600556461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297017146880).

600556461120 is an abundant number, since it is smaller than the sum of its proper divisors (1993477832640).

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

600556461120 is a wasteful number, since it uses less digits than its factorization.

600556461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19663 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 600556461120 in words is "six hundred billion, five hundred fifty-six million, four hundred sixty-one thousand, one hundred twenty".