5262633656400 has 240 divisors, whose sum is σ = 16894268308736. Its totient is φ = 1400351016960.

The previous prime is 5262633656377. The next prime is 5262633656411. The reversal of 5262633656400 is 46563362625.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5262633656400.

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, 1456580994 + ... + 1456584606.

Almost surely, 2^{5262633656400} is an apocalyptic number.

5262633656400 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 5262633656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447134154368).

5262633656400 is an abundant number, since it is smaller than the sum of its proper divisors (11631634652336).

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

5262633656400 is a wasteful number, since it uses less digits than its factorization.

5262633656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 5262633656400 in words is "five trillion, two hundred sixty-two billion, six hundred thirty-three million, six hundred fifty-six thousand, four hundred".