1287955298400 has 288 divisors, whose sum is σ = 4292585256960. Its totient is φ = 335248865280.

The previous prime is 1287955298393. The next prime is 1287955298429. The reversal of 1287955298400 is 48925597821.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 211866561 + ... + 211872639.

It is an arithmetic number, because the mean of its divisors is an integer number (14904809920).

Almost surely, 2^{1287955298400} is an apocalyptic number.

1287955298400 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 1287955298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146292628480).

1287955298400 is an abundant number, since it is smaller than the sum of its proper divisors (3004629958560).

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

1287955298400 is a wasteful number, since it uses less digits than its factorization.

1287955298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 1287955298400 in words is "one trillion, two hundred eighty-seven billion, nine hundred fifty-five million, two hundred ninety-eight thousand, four hundred".