5287757112000 has 1680 divisors, whose sum is σ = 22772436470784. Its totient is φ = 1206171648000.

The previous prime is 5287757111993. The next prime is 5287757112007. The reversal of 5287757112000 is 2117577825.

5287757112000 is a `hidden beast` number, since 5 + 2 + 8 + 77 + 571 + 1 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5287757111993) and next prime (5287757112007).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5287757112007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1332934017 + ... + 1332937983.

Almost surely, 2^{5287757112000} is an apocalyptic number.

5287757112000 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 5287757112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386218235392).

5287757112000 is an abundant number, since it is smaller than the sum of its proper divisors (17484679358784).

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

5287757112000 is a wasteful number, since it uses less digits than its factorization.

5287757112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 5287757112000 in words is "five trillion, two hundred eighty-seven billion, seven hundred fifty-seven million, one hundred twelve thousand".