1287381664800 has 4320 divisors, whose sum is σ = 6517247869440. Its totient is φ = 243855360000.

The previous prime is 1287381664787. The next prime is 1287381664801. The reversal of 1287381664800 is 84661837821.

1287381664800 is a `hidden beast` number, since 1 + 2 + 87 + 3 + 81 + 6 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287381664801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 31399552780 + ... + 31399552820.

It is an arithmetic number, because the mean of its divisors is an integer number (1508622192).

Almost surely, 2^{1287381664800} is an apocalyptic number.

1287381664800 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 1287381664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258623934720).

1287381664800 is an abundant number, since it is smaller than the sum of its proper divisors (5229866204640).

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

1287381664800 is a wasteful number, since it uses less digits than its factorization.

1287381664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1287381664800 in words is "one trillion, two hundred eighty-seven billion, three hundred eighty-one million, six hundred sixty-four thousand, eight hundred".