536802372288 has 896 divisors, whose sum is σ = 2008110182400. Its totient is φ = 136829730816.

The previous prime is 536802372283. The next prime is 536802372311. The reversal of 536802372288 is 882273208635.

536802372288 is a `hidden beast` number, since 53 + 6 + 80 + 237 + 2 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (536802372283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1495271053 + ... + 1495271411.

It is an arithmetic number, because the mean of its divisors is an integer number (2241194400).

Almost surely, 2^536802372288 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 536802372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004055091200).

536802372288 is an abundant number, since it is smaller than the sum of its proper divisors (1471307810112).

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

536802372288 is a wasteful number, since it uses less digits than its factorization.

536802372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 536802372288 in words is "five hundred thirty-six billion, eight hundred two million, three hundred seventy-two thousand, two hundred eighty-eight".