5245776691200 has 1080 divisors, whose sum is σ = 19833169077150. Its totient is φ = 1375941427200.

The previous prime is 5245776691123. The next prime is 5245776691217. The reversal of 5245776691200 is 21966775425.

It is a happy number.

5245776691200 is a `hidden beast` number, since 5 + 2 + 4 + 577 + 6 + 69 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2354579767296 + 2891196923904 = 1534464^2 + 1700352^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 85996339170 + ... + 85996339230.

Almost surely, 2^{5245776691200} is an apocalyptic number.

5245776691200 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 5245776691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916584538575).

5245776691200 is an abundant number, since it is smaller than the sum of its proper divisors (14587392385950).

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

5245776691200 is an frugal number, since it uses more digits than its factorization.

5245776691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 5245776691200 in words is "five trillion, two hundred forty-five billion, seven hundred seventy-six million, six hundred ninety-one thousand, two hundred".