1287857594880 has 400 divisors, whose sum is σ = 4616774161560. Its totient is φ = 343125393408.

The previous prime is 1287857594857. The next prime is 1287857594897. The reversal of 1287857594880 is 884957587821.

1287857594880 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 8 + 575 + 9 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 983524425984 + 304333168896 = 991728^2 + 551664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1287857594799 and 1287857594808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331151976 + ... + 331155864.

Almost surely, 2^{1287857594880} is an apocalyptic number.

1287857594880 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 1287857594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308387080780).

1287857594880 is an abundant number, since it is smaller than the sum of its proper divisors (3328916566680).

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

1287857594880 is an equidigital number, since it uses as much as digits as its factorization.

1287857594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 72.

The spelling of 1287857594880 in words is "one trillion, two hundred eighty-seven billion, eight hundred fifty-seven million, five hundred ninety-four thousand, eight hundred eighty".