1285541760 has 256 divisors, whose sum is σ = 4381724160. Its totient is φ = 319807488.

The previous prime is 1285541743. The next prime is 1285541773. The reversal of 1285541760 is 671455821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898542 + ... + 1899218.

It is an arithmetic number, because the mean of its divisors is an integer number (17116110).

Almost surely, 2^1285541760 is an apocalyptic number.

1285541760 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 1285541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190862080).

1285541760 is an abundant number, since it is smaller than the sum of its proper divisors (3096182400).

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

1285541760 is a wasteful number, since it uses less digits than its factorization.

1285541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 1285541760 is about 35854.4524431764. The cubic root of 1285541760 is about 1087.3317335114.

It can be divided in two parts, 12855 and 41760, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 1285541760 in words is "one billion, two hundred eighty-five million, five hundred forty-one thousand, seven hundred sixty".