1087384908960 has 576 divisors, whose sum is σ = 4299633321984. Its totient is φ = 245121177600.

The previous prime is 1087384908949. The next prime is 1087384909001. The reversal of 1087384908960 is 698094837801.

1087384908960 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 3 + 8 + 490 + 89 + 60 = 666.

1087384908960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220517695 + ... + 220522625.

It is an arithmetic number, because the mean of its divisors is an integer number (7464641184).

Almost surely, 2^{1087384908960} is an apocalyptic number.

1087384908960 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 1087384908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149816660992).

1087384908960 is an abundant number, since it is smaller than the sum of its proper divisors (3212248413024).

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

1087384908960 is a wasteful number, since it uses less digits than its factorization.

1087384908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1087384908960 in words is "one trillion, eighty-seven billion, three hundred eighty-four million, nine hundred eight thousand, nine hundred sixty".