1087538741280 has 768 divisors, whose sum is σ = 4153592217600. Its totient is φ = 264752271360.

The previous prime is 1087538741279. The next prime is 1087538741287. The reversal of 1087538741280 is 821478357801.

1087538741280 is a `hidden beast` number, since 1 + 0 + 8 + 75 + 3 + 87 + 412 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1087538741287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704820189 + ... + 704821731.

It is an arithmetic number, because the mean of its divisors is an integer number (5408323200).

Almost surely, 2^{1087538741280} is an apocalyptic number.

1087538741280 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 1087538741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076796108800).

1087538741280 is an abundant number, since it is smaller than the sum of its proper divisors (3066053476320).

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

1087538741280 is a wasteful number, since it uses less digits than its factorization.

1087538741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 1087538741280 in words is "one trillion, eighty-seven billion, five hundred thirty-eight million, seven hundred forty-one thousand, two hundred eighty".