536334898176 has 880 divisors, whose sum is σ = 2023979274240. Its totient is φ = 137414983680.

The previous prime is 536334898171. The next prime is 536334898213. The reversal of 536334898176 is 671898433635.

536334898176 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 3 + 489 + 81 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536334898171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 504547821 + ... + 504548883.

It is an arithmetic number, because the mean of its divisors is an integer number (2299976448).

Almost surely, 2^536334898176 is an apocalyptic number.

536334898176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536334898176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011989637120).

536334898176 is an abundant number, since it is smaller than the sum of its proper divisors (1487644376064).

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

536334898176 is a wasteful number, since it uses less digits than its factorization.

536334898176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1165 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 536334898176 in words is "five hundred thirty-six billion, three hundred thirty-four million, eight hundred ninety-eight thousand, one hundred seventy-six".