1285475218560 has 384 divisors, whose sum is σ = 4929884726400. Its totient is φ = 316423950336.

The previous prime is 1285475218553. The next prime is 1285475218567. The reversal of 1285475218560 is 658125745821.

1285475218560 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 4 + 75 + 2 + 1 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1285475218553) and next prime (1285475218567).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1285475218497 and 1285475218506.

It is not an unprimeable number, because it can be changed into a prime (1285475218567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700229 + ... + 3140411.

It is an arithmetic number, because the mean of its divisors is an integer number (12838241475).

Almost surely, 2^{1285475218560} is an apocalyptic number.

1285475218560 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 1285475218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464942363200).

1285475218560 is an abundant number, since it is smaller than the sum of its proper divisors (3644409507840).

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

1285475218560 is a wasteful number, since it uses less digits than its factorization.

1285475218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440237 (or 440206 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1285475218560 in words is "one trillion, two hundred eighty-five billion, four hundred seventy-five million, two hundred eighteen thousand, five hundred sixty".