5386262400 has 384 divisors, whose sum is σ = 20358220800. Its totient is φ = 1389312000.

The previous prime is 5386262393. The next prime is 5386262411. The reversal of 5386262400 is 42626835.

5386262400 is a `hidden beast` number, since 5 + 3 + 8 + 626 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677395 + ... + 2679405.

It is an arithmetic number, because the mean of its divisors is an integer number (53016200).

Almost surely, 2^5386262400 is an apocalyptic number.

5386262400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5386262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179110400).

5386262400 is an abundant number, since it is smaller than the sum of its proper divisors (14971958400).

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

5386262400 is a wasteful number, since it uses less digits than its factorization.

5386262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5386262400 is about 73391.1602306436. The cubic root of 5386262400 is about 1752.9216393127.

The spelling of 5386262400 in words is "five billion, three hundred eighty-six million, two hundred sixty-two thousand, four hundred".