5435008560 has 240 divisors, whose sum is σ = 19454183424. Its totient is φ = 1356630528.

The previous prime is 5435008549. The next prime is 5435008597. The reversal of 5435008560 is 658005345.

5435008560 is a `hidden beast` number, since 5 + 43 + 50 + 0 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774829 + ... + 781811.

Almost surely, 2^5435008560 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 5435008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727091712).

5435008560 is an abundant number, since it is smaller than the sum of its proper divisors (14019174864).

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

5435008560 is a wasteful number, since it uses less digits than its factorization.

5435008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5435008560 is about 73722.5105378269. The cubic root of 5435008560 is about 1758.1937995687.

The spelling of 5435008560 in words is "five billion, four hundred thirty-five million, eight thousand, five hundred sixty".