360546117120 has 480 divisors, whose sum is σ = 1430408947968. Its totient is φ = 82216894464.

The previous prime is 360546117109. The next prime is 360546117121. The reversal of 360546117120 is 21711645063.

360546117120 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 461 + 171 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360546117121) 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, 75315367 + ... + 75320153.

Almost surely, 2^360546117120 is an apocalyptic number.

360546117120 is a gapful number since it is divisible by the number (30) 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 360546117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715204473984).

360546117120 is an abundant number, since it is smaller than the sum of its proper divisors (1069862830848).

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

360546117120 is a wasteful number, since it uses less digits than its factorization.

360546117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 360546117120 in words is "three hundred sixty billion, five hundred forty-six million, one hundred seventeen thousand, one hundred twenty".