1089379635840 has 256 divisors, whose sum is σ = 3859296969600. Its totient is φ = 290420121600.

The previous prime is 1089379635829. The next prime is 1089379635919. The reversal of 1089379635840 is 485369739801.

1089379635840 is a `hidden beast` number, since 10 + 8 + 9 + 37 + 9 + 6 + 3 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86445540 + ... + 86458140.

Almost surely, 2^{1089379635840} is an apocalyptic number.

1089379635840 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 1089379635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929648484800).

1089379635840 is an abundant number, since it is smaller than the sum of its proper divisors (2769917333760).

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

1089379635840 is a wasteful number, since it uses less digits than its factorization.

1089379635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17614 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

It can be divided in two parts, 10893796 and 35840, that added together give a square (10929636 = 3306²).

The spelling of 1089379635840 in words is "one trillion, eighty-nine billion, three hundred seventy-nine million, six hundred thirty-five thousand, eight hundred forty".