536150320128 has 704 divisors, whose sum is σ = 1693336043520. Its totient is φ = 167382319104.

The previous prime is 536150320073. The next prime is 536150320177. The reversal of 536150320128 is 821023051635.

536150320128 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 503 + 20 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 536150320092 and 536150320101.

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, 4221656001 + ... + 4221656127.

It is an arithmetic number, because the mean of its divisors is an integer number (2405306880).

Almost surely, 2^536150320128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536150320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846668021760).

536150320128 is an abundant number, since it is smaller than the sum of its proper divisors (1157185723392).

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

536150320128 is a wasteful number, since it uses less digits than its factorization.

536150320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 295 counting only the distinct ones).

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

The spelling of 536150320128 in words is "five hundred thirty-six billion, one hundred fifty million, three hundred twenty thousand, one hundred twenty-eight".