1987072819200 has 2448 divisors, whose sum is σ = 9087007727616. Its totient is φ = 420426547200.

The previous prime is 1987072819163. The next prime is 1987072819201. The reversal of 1987072819200 is 29182707891.

1987072819200 is a `hidden beast` number, since 1 + 98 + 70 + 7 + 281 + 9 + 200 = 666.

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 (1987072819201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64099123185 + ... + 64099123215.

Almost surely, 2^{1987072819200} is an apocalyptic number.

1987072819200 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 1987072819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543503863808).

1987072819200 is an abundant number, since it is smaller than the sum of its proper divisors (7099934908416).

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

1987072819200 is an frugal number, since it uses more digits than its factorization.

1987072819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1987072819200 in words is "one trillion, nine hundred eighty-seven billion, seventy-two million, eight hundred nineteen thousand, two hundred".