1285252608000 has 208 divisors, whose sum is σ = 4276803656736. Its totient is φ = 342733619200.

The previous prime is 1285252607999. The next prime is 1285252608061. The reversal of 1285252608000 is 8062525821.

It is a self number, because there is not a number n which added to its sum of digits gives 1285252608000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117624 + ... + 1954376.

It is an arithmetic number, because the mean of its divisors is an integer number (20561556042).

Almost surely, 2^{1285252608000} is an apocalyptic number.

1285252608000 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 1285252608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138401828368).

1285252608000 is an abundant number, since it is smaller than the sum of its proper divisors (2991551048736).

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

1285252608000 is an frugal number, since it uses more digits than its factorization.

1285252608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836795 (or 836763 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 1285252608000 in words is "one trillion, two hundred eighty-five billion, two hundred fifty-two million, six hundred eight thousand".