5306537110400 has 384 divisors, whose sum is σ = 14039050818240. Its totient is φ = 1977039257600.

The previous prime is 5306537110361. The next prime is 5306537110487. The reversal of 5306537110400 is 40117356035.

It is a super-2 number, since 2×5306537110400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1970491454 + ... + 1970494146.

Almost surely, 2^{5306537110400} is an apocalyptic number.

5306537110400 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 5306537110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019525409120).

5306537110400 is an abundant number, since it is smaller than the sum of its proper divisors (8732513707840).

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

5306537110400 is a wasteful number, since it uses less digits than its factorization.

5306537110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 5306537110400 in words is "five trillion, three hundred six billion, five hundred thirty-seven million, one hundred ten thousand, four hundred".