360388775016 has 240 divisors, whose sum is σ = 1067751715140. Its totient is φ = 113550128640.

The previous prime is 360388774927. The next prime is 360388775059. The reversal of 360388775016 is 610577883063.

360388775016 is a `hidden beast` number, since 3 + 60 + 3 + 8 + 8 + 77 + 501 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 332875918116 + 27512856900 = 576954^2 + 165870^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 121875010 + ... + 121877966.

Almost surely, 2^360388775016 is an apocalyptic number.

360388775016 is a gapful number since it is divisible by the number (36) 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 360388775016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533875857570).

360388775016 is an abundant number, since it is smaller than the sum of its proper divisors (707362940124).

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

360388775016 is a wasteful number, since it uses less digits than its factorization.

360388775016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 360388775016 in words is "three hundred sixty billion, three hundred eighty-eight million, seven hundred seventy-five thousand, sixteen".