536662908663552 has 1296 divisors, whose sum is σ = 1789866434603520. Its totient is φ = 160228717608960.

The previous prime is 536662908663551. The next prime is 536662908663599. The reversal of 536662908663552 is 255366809266635.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536662908663551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 563130019108 + ... + 563130020060.

Almost surely, 2^{536662908663552} 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 536662908663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894933217301760).

536662908663552 is an abundant number, since it is smaller than the sum of its proper divisors (1253203525939968).

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

536662908663552 is an equidigital number, since it uses as much as digits as its factorization.

536662908663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 2519424000, while the sum is 72.

The spelling of 536662908663552 in words is "five hundred thirty-six trillion, six hundred sixty-two billion, nine hundred eight million, six hundred sixty-three thousand, five hundred fifty-two".