1486968127200 has 1008 divisors, whose sum is σ = 5629785139440. Its totient is φ = 383131607040.

The previous prime is 1486968127159. The next prime is 1486968127207. The reversal of 1486968127200 is 27218696841.

It is a happy number.

1486968127200 is a `hidden beast` number, since 1 + 486 + 96 + 8 + 1 + 2 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×1486968127200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1486968127207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2256400471 + ... + 2256401129.

It is an arithmetic number, because the mean of its divisors is an integer number (5585104305).

Almost surely, 2^{1486968127200} is an apocalyptic number.

1486968127200 is a gapful number since it is divisible by the number (10) 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 1486968127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814892569720).

1486968127200 is an abundant number, since it is smaller than the sum of its proper divisors (4142817012240).

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

1486968127200 is an equidigital number, since it uses as much as digits as its factorization.

1486968127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1486968127200 in words is "one trillion, four hundred eighty-six billion, nine hundred sixty-eight million, one hundred twenty-seven thousand, two hundred".