535506370560 has 1440 divisors, whose sum is σ = 2278916015040. Its totient is φ = 120394874880.

The previous prime is 535506370547. The next prime is 535506370583. The reversal of 535506370560 is 65073605535.

It is a happy number.

535506370560 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 0 + 637 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8778792930 + ... + 8778792990.

It is an arithmetic number, because the mean of its divisors is an integer number (1582580566).

Almost surely, 2^535506370560 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 535506370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139458007520).

535506370560 is an abundant number, since it is smaller than the sum of its proper divisors (1743409644480).

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

535506370560 is an frugal number, since it uses more digits than its factorization.

535506370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The spelling of 535506370560 in words is "five hundred thirty-five billion, five hundred six million, three hundred seventy thousand, five hundred sixty".