1286102880 has 192 divisors, whose sum is σ = 4518097920. Its totient is φ = 341687808.

The previous prime is 1286102863. The next prime is 1286102897. The reversal of 1286102880 is 882016821.

1286102880 is a `hidden beast` number, since 12 + 8 + 610 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1286102863) and next prime (1286102897).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1999839 + ... + 2000481.

It is an arithmetic number, because the mean of its divisors is an integer number (23531760).

Almost surely, 2^1286102880 is an apocalyptic number.

1286102880 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 1286102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259048960).

1286102880 is an abundant number, since it is smaller than the sum of its proper divisors (3231995040).

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

1286102880 is a wasteful number, since it uses less digits than its factorization.

1286102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1286102880 is about 35862.2765590809. The cubic root of 1286102880 is about 1087.4899119159.

The spelling of 1286102880 in words is "one billion, two hundred eighty-six million, one hundred two thousand, eight hundred eighty".