1287957837960 has 192 divisors, whose sum is σ = 4354133238000. Its totient is φ = 329779537920.

The previous prime is 1287957837953. The next prime is 1287957837967. The reversal of 1287957837960 is 697387597821.

1287957837960 is a `hidden beast` number, since 12 + 8 + 7 + 9 + 578 + 37 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1287957837953) and next prime (1287957837967).

It can be written as a sum of positive squares in 8 ways, for example, as 8674687044 + 1279283150916 = 93138^2 + 1131054^2 .

It is a super-3 number, since 3×1287957837960³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1287957837967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1548846 + ... + 2230434.

Almost surely, 2^{1287957837960} is an apocalyptic number.

1287957837960 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 1287957837960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177066619000).

1287957837960 is an abundant number, since it is smaller than the sum of its proper divisors (3066175400040).

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

1287957837960 is a wasteful number, since it uses less digits than its factorization.

1287957837960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681816 (or 681809 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 1287957837960 in words is "one trillion, two hundred eighty-seven billion, nine hundred fifty-seven million, eight hundred thirty-seven thousand, nine hundred sixty".