10736388389808 has 480 divisors, whose sum is σ = 32948586530496. Its totient is φ = 3249840586752.

The previous prime is 10736388389789. The next prime is 10736388389813. The reversal of 10736388389808 is 80898388363701.

10736388389808 is a `hidden beast` number, since 107 + 3 + 63 + 8 + 8 + 389 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8822011216 + ... + 8822012432.

Almost surely, 2^{10736388389808} is an apocalyptic number.

10736388389808 is a gapful number since it is divisible by the number (18) 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 10736388389808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474293265248).

10736388389808 is an abundant number, since it is smaller than the sum of its proper divisors (22212198140688).

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

10736388389808 is a wasteful number, since it uses less digits than its factorization.

10736388389808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 10736388389808 in words is "ten trillion, seven hundred thirty-six billion, three hundred eighty-eight million, three hundred eighty-nine thousand, eight hundred eight".