536589658656 has 288 divisors, whose sum is σ = 1653053246208. Its totient is φ = 164461731840.

The previous prime is 536589658589. The next prime is 536589658663. The reversal of 536589658656 is 656856985635.

536589658656 is a `hidden beast` number, since 5 + 36 + 5 + 8 + 9 + 6 + 586 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150261351 + ... + 150264921.

It is an arithmetic number, because the mean of its divisors is an integer number (5739768216).

Almost surely, 2^536589658656 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 536589658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826526623104).

536589658656 is an abundant number, since it is smaller than the sum of its proper divisors (1116463587552).

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

536589658656 is a wasteful number, since it uses less digits than its factorization.

536589658656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4293 counting only the distinct ones).

The product of its digits is 1399680000, while the sum is 72.

The spelling of 536589658656 in words is "five hundred thirty-six billion, five hundred eighty-nine million, six hundred fifty-eight thousand, six hundred fifty-six".