1086972416064 has 140 divisors (see below), whose sum is σ = 3222668460924. Its totient is φ = 362263228416.

The previous prime is 1086972416027. The next prime is 1086972416107. The reversal of 1086972416064 is 4606142796801.

1086972416064 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 9 + 7 + 24 + 1 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8282456064 + 1078689960000 = 91008^2 + 1038600^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1086972416064.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 39265332 + ... + 39293004.

Almost surely, 2^{1086972416064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086972416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611334230462).

1086972416064 is an abundant number, since it is smaller than the sum of its proper divisors (2135696044860).

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

1086972416064 is an equidigital number, since it uses as much as digits as its factorization.

1086972416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35274 (or 35255 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1086972416064 in words is "one trillion, eighty-six billion, nine hundred seventy-two million, four hundred sixteen thousand, sixty-four".