536983967520 has 1728 divisors, whose sum is σ = 2637044242560. Its totient is φ = 97542144000.

The previous prime is 536983967497. The next prime is 536983967543. The reversal of 536983967520 is 25769389635.

536983967520 is a `hidden beast` number, since 536 + 9 + 8 + 3 + 9 + 6 + 75 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (536983967497) and next prime (536983967543).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191710120 + ... + 191712920.

It is an arithmetic number, because the mean of its divisors is an integer number (1526067270).

Almost surely, 2^536983967520 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 536983967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318522121280).

536983967520 is an abundant number, since it is smaller than the sum of its proper divisors (2100060275040).

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

536983967520 is a wasteful number, since it uses less digits than its factorization.

536983967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 536983967520 in words is "five hundred thirty-six billion, nine hundred eighty-three million, nine hundred sixty-seven thousand, five hundred twenty".