5239609070400 has 336 divisors, whose sum is σ = 19186002572800. Its totient is φ = 1390960926720.

The previous prime is 5239609070327. The next prime is 5239609070473. The reversal of 5239609070400 is 40709069325.

It is a happy number.

5239609070400 is a `hidden beast` number, since 5 + 2 + 3 + 96 + 0 + 90 + 70 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5239609070327) and next prime (5239609070473).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9361656 + ... + 9905544.

Almost surely, 2^{5239609070400} is an apocalyptic number.

5239609070400 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 5239609070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593001286400).

5239609070400 is an abundant number, since it is smaller than the sum of its proper divisors (13946393502400).

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

5239609070400 is a wasteful number, since it uses less digits than its factorization.

5239609070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544143 (or 544122 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5239609070400 in words is "five trillion, two hundred thirty-nine billion, six hundred nine million, seventy thousand, four hundred".