1987678828800 has 2160 divisors, whose sum is σ = 8950200483840. Its totient is φ = 425144401920.

The previous prime is 1987678828757. The next prime is 1987678828829. The reversal of 1987678828800 is 88288767891.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8756294287 + ... + 8756294513.

Almost surely, 2^{1987678828800} is an apocalyptic number.

1987678828800 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 1987678828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475100241920).

1987678828800 is an abundant number, since it is smaller than the sum of its proper divisors (6962521655040).

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

1987678828800 is a wasteful number, since it uses less digits than its factorization.

1987678828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 72.

The spelling of 1987678828800 in words is "one trillion, nine hundred eighty-seven billion, six hundred seventy-eight million, eight hundred twenty-eight thousand, eight hundred".