536154718320 has 320 divisors, whose sum is σ = 2007411517440. Its totient is φ = 130742387712.

The previous prime is 536154718291. The next prime is 536154718321. The reversal of 536154718320 is 23817451635.

It is a happy number.

536154718320 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 547 + 1 + 83 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536154718321) 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, 2915337 + ... + 3093783.

It is an arithmetic number, because the mean of its divisors is an integer number (6273160992).

Almost surely, 2^536154718320 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 536154718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003705758720).

536154718320 is an abundant number, since it is smaller than the sum of its proper divisors (1471256799120).

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

536154718320 is a wasteful number, since it uses less digits than its factorization.

536154718320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178589 (or 178577 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 536154718320 in words is "five hundred thirty-six billion, one hundred fifty-four million, seven hundred eighteen thousand, three hundred twenty".