536800500 has 192 divisors, whose sum is σ = 1839801600. Its totient is φ = 134668800.

The previous prime is 536800499. The next prime is 536800507. The reversal of 536800500 is 5008635.

536800500 is a `hidden beast` number, since 536 + 80 + 0 + 50 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536800507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228331 + ... + 230669.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^536800500 is an apocalyptic number.

536800500 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 536800500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

536800500 is an abundant number, since it is smaller than the sum of its proper divisors (1303001100).

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

536800500 is a wasteful number, since it uses less digits than its factorization.

536800500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 536800500 is about 23168.9555224227. The cubic root of 536800500 is about 812.7138056660.

The spelling of 536800500 in words is "five hundred thirty-six million, eight hundred thousand, five hundred".