5385826560 has 144 divisors (see below), whose sum is σ = 17666341056. Its totient is φ = 1397366784.

The previous prime is 5385826549. The next prime is 5385826561. The reversal of 5385826560 is 656285835.

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

It is not an unprimeable number, because it can be changed into a prime (5385826561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123127 + ... + 161033.

It is an arithmetic number, because the mean of its divisors is an integer number (122682924).

Almost surely, 2^5385826560 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 5385826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833170528).

5385826560 is an abundant number, since it is smaller than the sum of its proper divisors (12280514496).

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

5385826560 is a wasteful number, since it uses less digits than its factorization.

5385826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37968 (or 37954 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 5385826560 is about 73388.1908756443. The cubic root of 5385826560 is about 1752.8743576717.

The spelling of 5385826560 in words is "five billion, three hundred eighty-five million, eight hundred twenty-six thousand, five hundred sixty".