5256096181200 has 90 divisors (see below), whose sum is σ = 18240113787974. Its totient is φ = 1401625647360.

The previous prime is 5256096181169. The next prime is 5256096181211. The reversal of 5256096181200 is 21816906525.

5256096181200 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 0 + 9 + 618 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 301508496 + 5255794672704 = 17364^2 + 2292552^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 730009759 + ... + 730016958.

Almost surely, 2^{5256096181200} is an apocalyptic number.

5256096181200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5256096181200 is an abundant number, since it is smaller than the sum of its proper divisors (12984017606774).

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

5256096181200 is a wasteful number, since it uses less digits than its factorization.

5256096181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460026741 (or 1460026727 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5256096181200 in words is "five trillion, two hundred fifty-six billion, ninety-six million, one hundred eighty-one thousand, two hundred".