987344943984000 has 3840 divisors, whose sum is σ = 4409702168938560. Its totient is φ = 210958368768000.

The previous prime is 987344943983999. The next prime is 987344943984079. The reversal of 987344943984000 is 489349443789.

987344943984000 is a `hidden beast` number, since 9 + 8 + 7 + 3 + 4 + 494 + 3 + 98 + 40 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 987344943984000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1016833103515 + ... + 1016833104485.

Almost surely, 2^{987344943984000} is an apocalyptic number.

987344943984000 is a gapful number since it is divisible by the number (90) 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 987344943984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204851084469280).

987344943984000 is an abundant number, since it is smaller than the sum of its proper divisors (3422357224954560).

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

987344943984000 is a wasteful number, since it uses less digits than its factorization.

987344943984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 987344943984000 in words is "nine hundred eighty-seven trillion, three hundred forty-four billion, nine hundred forty-three million, nine hundred eighty-four thousand".