536150016000 has 800 divisors, whose sum is σ = 2018875973400. Its totient is φ = 141557760000.

The previous prime is 536150015993. The next prime is 536150016047. The reversal of 536150016000 is 610051635.

It is a happy number.

536150016000 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 50 + 0 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 310882074624 + 225267941376 = 557568^2 + 474624^2 .

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5308415950 + ... + 5308416050.

Almost surely, 2^536150016000 is an apocalyptic number.

536150016000 is a gapful number since it is divisible by the number (50) 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 536150016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009437986700).

536150016000 is an abundant number, since it is smaller than the sum of its proper divisors (1482725957400).

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

536150016000 is an frugal number, since it uses more digits than its factorization.

536150016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 536150016000 its reverse (610051635), we get a palindrome (536760067635).

The spelling of 536150016000 in words is "five hundred thirty-six billion, one hundred fifty million, sixteen thousand".