36123250320 has 320 divisors, whose sum is σ = 127518624000. Its totient is φ = 9395933184.

The previous prime is 36123250301. The next prime is 36123250351. The reversal of 36123250320 is 2305232163.

36123250320 is a `hidden beast` number, since 3 + 6 + 12 + 325 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17458246 + ... + 17460314.

It is an arithmetic number, because the mean of its divisors is an integer number (398495700).

Almost surely, 2^36123250320 is an apocalyptic number.

36123250320 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 36123250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63759312000).

36123250320 is an abundant number, since it is smaller than the sum of its proper divisors (91395373680).

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

36123250320 is a wasteful number, since it uses less digits than its factorization.

36123250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 36123250320 its reverse (2305232163), we get a palindrome (38428482483).

The spelling of 36123250320 in words is "thirty-six billion, one hundred twenty-three million, two hundred fifty thousand, three hundred twenty".