5385569040 has 320 divisors, whose sum is σ = 19315430400. Its totient is φ = 1378031616.

The previous prime is 5385569027. The next prime is 5385569069. The reversal of 5385569040 is 409655835.

5385569040 is a `hidden beast` number, since 5 + 3 + 8 + 556 + 90 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6313254 + ... + 6314106.

It is an arithmetic number, because the mean of its divisors is an integer number (60360720).

Almost surely, 2^5385569040 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 5385569040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657715200).

5385569040 is an abundant number, since it is smaller than the sum of its proper divisors (13929861360).

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

5385569040 is a wasteful number, since it uses less digits than its factorization.

5385569040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5385569040 is about 73386.4363489603. The cubic root of 5385569040 is about 1752.8464196883.

The spelling of 5385569040 in words is "five billion, three hundred eighty-five million, five hundred sixty-nine thousand, forty".