5240626431600 has 240 divisors, whose sum is σ = 19187220336128. Its totient is φ = 1197761541120.

The previous prime is 5240626431581. The next prime is 5240626431619. The reversal of 5240626431600 is 61346260425.

It is an interprime number because it is at equal distance from previous prime (5240626431581) and next prime (5240626431619).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 205930077 + ... + 205955523.

Almost surely, 2^{5240626431600} is an apocalyptic number.

5240626431600 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 5240626431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593610168064).

5240626431600 is an abundant number, since it is smaller than the sum of its proper divisors (13946593904528).

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

5240626431600 is a wasteful number, since it uses less digits than its factorization.

5240626431600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49992 (or 49981 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 5240626431600 in words is "five trillion, two hundred forty billion, six hundred twenty-six million, four hundred thirty-one thousand, six hundred".