536794614933120 has 1280 divisors, whose sum is σ = 2056340201287680. Its totient is φ = 133095220346880.

The previous prime is 536794614933119. The next prime is 536794614933167. The reversal of 536794614933120 is 21339416497635.

536794614933120 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 9 + 4 + 614 + 9 + 3 + 3 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52100801889 + ... + 52100812191.

It is an arithmetic number, because the mean of its divisors is an integer number (1606515782256).

Almost surely, 2^{536794614933120} 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 536794614933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028170100643840).

536794614933120 is an abundant number, since it is smaller than the sum of its proper divisors (1519545586354560).

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

536794614933120 is a wasteful number, since it uses less digits than its factorization.

536794614933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 536794614933120 in words is "five hundred thirty-six trillion, seven hundred ninety-four billion, six hundred fourteen million, nine hundred thirty-three thousand, one hundred twenty".