361053120960 has 1512 divisors, whose sum is σ = 1628404942320. Its totient is φ = 72757149696.

The previous prime is 361053120937. The next prime is 361053120971. The reversal of 361053120960 is 69021350163.

361053120960 is a `hidden beast` number, since 3 + 6 + 10 + 531 + 20 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4056776596 + ... + 4056776684.

Almost surely, 2^361053120960 is an apocalyptic number.

361053120960 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 361053120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814202471160).

361053120960 is an abundant number, since it is smaller than the sum of its proper divisors (1267351821360).

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

361053120960 is a wasteful number, since it uses less digits than its factorization.

361053120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 361053120960 in words is "three hundred sixty-one billion, fifty-three million, one hundred twenty thousand, nine hundred sixty".