5211765081600 has 480 divisors, whose sum is σ = 21465038935296. Its totient is φ = 1082963558400.

The previous prime is 5211765081583. The next prime is 5211765081637. The reversal of 5211765081600 is 61805671125.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2075482 + ... + 3838118.

Almost surely, 2^{5211765081600} is an apocalyptic number.

5211765081600 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 5211765081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732519467648).

5211765081600 is an abundant number, since it is smaller than the sum of its proper divisors (16253273853696).

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

5211765081600 is a wasteful number, since it uses less digits than its factorization.

5211765081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762686 (or 1762665 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 5211765081600 in words is "five trillion, two hundred eleven billion, seven hundred sixty-five million, eighty-one thousand, six hundred".