10786328664540 has 768 divisors, whose sum is σ = 38983327488000. Its totient is φ = 2188748390400.

The previous prime is 10786328664539. The next prime is 10786328664563. The reversal of 10786328664540 is 4546682368701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354227236 + ... + 354257684.

It is an arithmetic number, because the mean of its divisors is an integer number (50759541000).

Almost surely, 2^{10786328664540} is an apocalyptic number.

10786328664540 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 10786328664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491663744000).

10786328664540 is an abundant number, since it is smaller than the sum of its proper divisors (28196998823460).

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

10786328664540 is a wasteful number, since it uses less digits than its factorization.

10786328664540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30598 (or 30596 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 10786328664540 in words is "ten trillion, seven hundred eighty-six billion, three hundred twenty-eight million, six hundred sixty-four thousand, five hundred forty".