5390582400 has 480 divisors, whose sum is σ = 22741862880. Its totient is φ = 1231718400.

The previous prime is 5390582389. The next prime is 5390582423. The reversal of 5390582400 is 42850935.

5390582400 is a `hidden beast` number, since 5 + 39 + 0 + 582 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5390582400² = 58116757222379520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812915 + ... + 1815885.

It is an arithmetic number, because the mean of its divisors is an integer number (47378881).

Almost surely, 2^5390582400 is an apocalyptic number.

5390582400 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 5390582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370931440).

5390582400 is an abundant number, since it is smaller than the sum of its proper divisors (17351280480).

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

5390582400 is a wasteful number, since it uses less digits than its factorization.

5390582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5390582400 is about 73420.5856691432. The cubic root of 5390582400 is about 1753.3901520652.

The spelling of 5390582400 in words is "five billion, three hundred ninety million, five hundred eighty-two thousand, four hundred".