5426400000 has 864 divisors, whose sum is σ = 22993528320. Its totient is φ = 1105920000.

The previous prime is 5426399963. The next prime is 5426400037. The reversal of 5426400000 is 46245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5426399963) and next prime (5426400037).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 5426400000.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 285599991 + ... + 285600009.

It is an arithmetic number, because the mean of its divisors is an integer number (26612880).

Almost surely, 2^5426400000 is an apocalyptic number.

5426400000 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 5426400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496764160).

5426400000 is an abundant number, since it is smaller than the sum of its proper divisors (17567128320).

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

5426400000 is an equidigital number, since it uses as much as digits as its factorization.

5426400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5426400000 is about 73664.1025194769. The cubic root of 5426400000 is about 1757.2650359318.

Adding to 5426400000 its reverse (46245), we get a palindrome (5426446245).

The spelling of 5426400000 in words is "five billion, four hundred twenty-six million, four hundred thousand".