536290191360 has 1536 divisors, whose sum is σ = 2413819699200. Its totient is φ = 111078604800.

The previous prime is 536290191313. The next prime is 536290191373. The reversal of 536290191360 is 63191092635.

536290191360 is a `hidden beast` number, since 5 + 3 + 629 + 0 + 1 + 9 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1724405605 + ... + 1724405915.

It is an arithmetic number, because the mean of its divisors is an integer number (1571497200).

Almost surely, 2^536290191360 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 536290191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206909849600).

536290191360 is an abundant number, since it is smaller than the sum of its proper divisors (1877529507840).

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

536290191360 is an equidigital number, since it uses as much as digits as its factorization.

536290191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 536290191360 in words is "five hundred thirty-six billion, two hundred ninety million, one hundred ninety-one thousand, three hundred sixty".