1086073640064 has 384 divisors, whose sum is σ = 3708998092800. Its totient is φ = 309892137984.

The previous prime is 1086073640033. The next prime is 1086073640129. The reversal of 1086073640064 is 4600463706801.

It is a happy number.

1086073640064 is a `hidden beast` number, since 1 + 0 + 8 + 607 + 36 + 4 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-5 number, since 5×1086073640064⁵ (a number of 61 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187025449 + ... + 187031255.

It is an arithmetic number, because the mean of its divisors is an integer number (9658849200).

Almost surely, 2^{1086073640064} is an apocalyptic number.

1086073640064 is a gapful number since it is divisible by the number (14) 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 1086073640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854499046400).

1086073640064 is an abundant number, since it is smaller than the sum of its proper divisors (2622924452736).

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

1086073640064 is an frugal number, since it uses more digits than its factorization.

1086073640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1086073640064 in words is "one trillion, eighty-six billion, seventy-three million, six hundred forty thousand, sixty-four".