1285157760 has 128 divisors (see below), whose sum is σ = 4163974560. Its totient is φ = 337059840.

The previous prime is 1285157759. The next prime is 1285157761. The reversal of 1285157760 is 677515821.

It is an interprime number because it is at equal distance from previous prime (1285157759) and next prime (1285157761).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285157761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111634 + ... + 122606.

Almost surely, 2^1285157760 is an apocalyptic number.

1285157760 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 1285157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081987280).

1285157760 is an abundant number, since it is smaller than the sum of its proper divisors (2878816800).

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

1285157760 is a wasteful number, since it uses less digits than its factorization.

1285157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11056 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The square root of 1285157760 is about 35849.0970597587. The cubic root of 1285157760 is about 1087.2234582873.

The spelling of 1285157760 in words is "one billion, two hundred eighty-five million, one hundred fifty-seven thousand, seven hundred sixty".