535514366640 has 320 divisors, whose sum is σ = 1855133406720. Its totient is φ = 126665441280.

The previous prime is 535514366627. The next prime is 535514366663. The reversal of 535514366640 is 46663415535.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 535514366640.

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 63 ways as a sum of consecutive naturals, for example, 137697816 + ... + 137701704.

It is an arithmetic number, because the mean of its divisors is an integer number (5797291896).

Almost surely, 2^535514366640 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 535514366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927566703360).

535514366640 is an abundant number, since it is smaller than the sum of its proper divisors (1319619040080).

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

535514366640 is a wasteful number, since it uses less digits than its factorization.

535514366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 535514366640 in words is "five hundred thirty-five billion, five hundred fourteen million, three hundred sixty-six thousand, six hundred forty".