5305487040 has 756 divisors, whose sum is σ = 22856470416. Its totient is φ = 1148857344.

The previous prime is 5305487039. The next prime is 5305487051. The reversal of 5305487040 is 407845035.

5305487040 is a `hidden beast` number, since 5 + 3 + 0 + 548 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a junction number, because it is equal to n+sod(n) for n = 5305486986 and 5305487004.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 279236151 + ... + 279236169.

Almost surely, 2^5305487040 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 5305487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428235208).

5305487040 is an abundant number, since it is smaller than the sum of its proper divisors (17550983376).

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

5305487040 is an frugal number, since it uses more digits than its factorization.

5305487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5305487040 is about 72838.7742895225. The cubic root of 5305487040 is about 1744.1148747383.

The spelling of 5305487040 in words is "five billion, three hundred five million, four hundred eighty-seven thousand, forty".