1086207978240 has 3888 divisors, whose sum is σ = 5414769884160. Its totient is φ = 206928691200.

The previous prime is 1086207978239. The next prime is 1086207978301. The reversal of 1086207978240 is 428797026801.

It is a happy number.

1086207978240 is a `hidden beast` number, since 1 + 0 + 8 + 620 + 7 + 9 + 7 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 35038967025 + ... + 35038967055.

Almost surely, 2^{1086207978240} is an apocalyptic number.

1086207978240 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 1086207978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707384942080).

1086207978240 is an abundant number, since it is smaller than the sum of its proper divisors (4328561905920).

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

1086207978240 is a wasteful number, since it uses less digits than its factorization.

1086207978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1086207978240 in words is "one trillion, eighty-six billion, two hundred seven million, nine hundred seventy-eight thousand, two hundred forty".