536090718240 has 1728 divisors, whose sum is σ = 2458767467520. Its totient is φ = 103286845440.

The previous prime is 536090718239. The next prime is 536090718269. The reversal of 536090718240 is 42817090635.

536090718240 is a `hidden beast` number, since 5 + 3 + 609 + 0 + 7 + 18 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2361633007 + ... + 2361633233.

It is an arithmetic number, because the mean of its divisors is an integer number (1422897840).

It is a 1-persistent number, because it is pandigital, but 2⋅536090718240 = 1072181436480 is not.

Almost surely, 2^536090718240 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 536090718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229383733760).

536090718240 is an abundant number, since it is smaller than the sum of its proper divisors (1922676749280).

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

536090718240 is a wasteful number, since it uses less digits than its factorization.

536090718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 536090718240 in words is "five hundred thirty-six billion, ninety million, seven hundred eighteen thousand, two hundred forty".