5420313600 has 528 divisors, whose sum is σ = 19829043360. Its totient is φ = 1297612800.

The previous prime is 5420313593. The next prime is 5420313617. The reversal of 5420313600 is 63130245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 60902356 + ... + 60902444.

Almost surely, 2^5420313600 is an apocalyptic number.

5420313600 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 5420313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914521680).

5420313600 is an abundant number, since it is smaller than the sum of its proper divisors (14408729760).

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

5420313600 is a wasteful number, since it uses less digits than its factorization.

5420313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5420313600 is about 73622.7790836505. The cubic root of 5420313600 is about 1756.6077911553.

Adding to 5420313600 its reverse (63130245), we get a palindrome (5483443845).

It can be divided in two parts, 54 and 20313600, that multiplied together give a square (1096934400 = 33120²).

The spelling of 5420313600 in words is "five billion, four hundred twenty million, three hundred thirteen thousand, six hundred".