1287418860000 has 2880 divisors, whose sum is σ = 6065865501696. Its totient is φ = 261273600000.

The previous prime is 1287418859953. The next prime is 1287418860037. The reversal of 1287418860000 is 688147821.

1287418860000 is a `hidden beast` number, since 1 + 28 + 7 + 4 + 18 + 8 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18132659965 + ... + 18132660035.

Almost surely, 2^{1287418860000} is an apocalyptic number.

1287418860000 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 1287418860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032932750848).

1287418860000 is an abundant number, since it is smaller than the sum of its proper divisors (4778446641696).

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

1287418860000 is an equidigital number, since it uses as much as digits as its factorization.

1287418860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1287418860000 in words is "one trillion, two hundred eighty-seven billion, four hundred eighteen million, eight hundred sixty thousand".