535975948816 has 480 divisors, whose sum is σ = 1436308070400. Its totient is φ = 188909107200.

The previous prime is 535975948789. The next prime is 535975948841. The reversal of 535975948816 is 618849579535.

It is a super-2 number, since 2×535975948816² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662516220 + ... + 662517028.

It is an arithmetic number, because the mean of its divisors is an integer number (2992308480).

Almost surely, 2^535975948816 is an apocalyptic number.

535975948816 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 535975948816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718154035200).

535975948816 is an abundant number, since it is smaller than the sum of its proper divisors (900332121584).

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

535975948816 is a wasteful number, since it uses less digits than its factorization.

535975948816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 962 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 70.

The spelling of 535975948816 in words is "five hundred thirty-five billion, nine hundred seventy-five million, nine hundred forty-eight thousand, eight hundred sixteen".