536901628560 has 320 divisors, whose sum is σ = 1841498136576. Its totient is φ = 128315699200.

The previous prime is 536901628553. The next prime is 536901628573. The reversal of 536901628560 is 65826109635.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114159169 + ... + 114163871.

Almost surely, 2^536901628560 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 536901628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920749068288).

536901628560 is an abundant number, since it is smaller than the sum of its proper divisors (1304596508016).

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

536901628560 is a wasteful number, since it uses less digits than its factorization.

536901628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 536901628560 in words is "five hundred thirty-six billion, nine hundred one million, six hundred twenty-eight thousand, five hundred sixty".