536027506560 has 768 divisors, whose sum is σ = 2285359090560. Its totient is φ = 112736600064.

The previous prime is 536027506541. The next prime is 536027506577. The reversal of 536027506560 is 65605720635.

536027506560 is a `hidden beast` number, since 5 + 3 + 60 + 27 + 5 + 0 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185027032 + ... + 185029928.

Almost surely, 2^536027506560 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 536027506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142679545280).

536027506560 is an abundant number, since it is smaller than the sum of its proper divisors (1749331584000).

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

536027506560 is a wasteful number, since it uses less digits than its factorization.

536027506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 536027506560 in words is "five hundred thirty-six billion, twenty-seven million, five hundred six thousand, five hundred sixty".