5310105402400 has 36 divisors (see below), whose sum is σ = 12963294815562. Its totient is φ = 2124042160640.

The previous prime is 5310105402397. The next prime is 5310105402403. The reversal of 5310105402400 is 42045010135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5310105402397) and next prime (5310105402403).

It can be written as a sum of positive squares in 3 ways, for example, as 4067691989904 + 1242413412496 = 2016852^2 + 1114636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5310105402403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3318815077 + ... + 3318816676.

Almost surely, 2^{5310105402400} is an apocalyptic number.

5310105402400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5310105402400 is an abundant number, since it is smaller than the sum of its proper divisors (7653189413162).

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

5310105402400 is a wasteful number, since it uses less digits than its factorization.

5310105402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637631773 (or 6637631760 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 5310105402400 in words is "five trillion, three hundred ten billion, one hundred five million, four hundred two thousand, four hundred".