535971916032 has 864 divisors, whose sum is σ = 1815958932480. Its totient is φ = 139485265920.

The previous prime is 535971915979. The next prime is 535971916049. The reversal of 535971916032 is 230619179535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3288171183 + ... + 3288171345.

It is an arithmetic number, because the mean of its divisors is an integer number (2101804320).

Almost surely, 2^535971916032 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 535971916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907979466240).

535971916032 is an abundant number, since it is smaller than the sum of its proper divisors (1279987016448).

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

535971916032 is a wasteful number, since it uses less digits than its factorization.

535971916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 535971916032 in words is "five hundred thirty-five billion, nine hundred seventy-one million, nine hundred sixteen thousand, thirty-two".