5185664863200 has 1152 divisors, whose sum is σ = 20392469798400. Its totient is φ = 1266916884480.

The previous prime is 5185664863199. The next prime is 5185664863213. The reversal of 5185664863200 is 23684665815.

5185664863200 is a `hidden beast` number, since 5 + 1 + 8 + 566 + 48 + 6 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×5185664863200² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2318132482 + ... + 2318134718.

It is an arithmetic number, because the mean of its divisors is an integer number (17701796700).

Almost surely, 2^{5185664863200} is an apocalyptic number.

5185664863200 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 5185664863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196234899200).

5185664863200 is an abundant number, since it is smaller than the sum of its proper divisors (15206804935200).

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

5185664863200 is a wasteful number, since it uses less digits than its factorization.

5185664863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5185664863200 in words is "five trillion, one hundred eighty-five billion, six hundred sixty-four million, eight hundred sixty-three thousand, two hundred".