536016588800 has 624 divisors, whose sum is σ = 1671539597952. Its totient is φ = 165622579200.

The previous prime is 536016588787. The next prime is 536016588841. The reversal of 536016588800 is 8885610635.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237913384 + ... + 1237913816.

Almost surely, 2^536016588800 is an apocalyptic number.

536016588800 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 536016588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835769798976).

536016588800 is an abundant number, since it is smaller than the sum of its proper divisors (1135523009152).

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

536016588800 is a wasteful number, since it uses less digits than its factorization.

536016588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 50.

The spelling of 536016588800 in words is "five hundred thirty-six billion, sixteen million, five hundred eighty-eight thousand, eight hundred".