10779640320000 has 1040 divisors, whose sum is σ = 37208812468608. Its totient is φ = 2773155840000.

The previous prime is 10779640319971. The next prime is 10779640320107. The reversal of 10779640320000 is 2304697701.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 28899839814 + ... + 28899840186.

Almost surely, 2^{10779640320000} is an apocalyptic number.

10779640320000 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 10779640320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604406234304).

10779640320000 is an abundant number, since it is smaller than the sum of its proper divisors (26429172148608).

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

10779640320000 is an frugal number, since it uses more digits than its factorization.

10779640320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10779640320000 in words is "ten trillion, seven hundred seventy-nine billion, six hundred forty million, three hundred twenty thousand".