1478286754560 has 1440 divisors, whose sum is σ = 6731169984000. Its totient is φ = 307095183360.

The previous prime is 1478286754547. The next prime is 1478286754619. The reversal of 1478286754560 is 654576828741.

1478286754560 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 2 + 8 + 67 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 391182751 + ... + 391186529.

It is an arithmetic number, because the mean of its divisors is an integer number (4674423600).

Almost surely, 2^{1478286754560} is an apocalyptic number.

1478286754560 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 1478286754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365584992000).

1478286754560 is an abundant number, since it is smaller than the sum of its proper divisors (5252883229440).

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

1478286754560 is an equidigital number, since it uses as much as digits as its factorization.

1478286754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 1478286754560 in words is "one trillion, four hundred seventy-eight billion, two hundred eighty-six million, seven hundred fifty-four thousand, five hundred sixty".