10774028762496 has 384 divisors, whose sum is σ = 32935731978240. Its totient is φ = 3373333032960.

The previous prime is 10774028762491. The next prime is 10774028762579. The reversal of 10774028762496 is 69426782047701.

10774028762496 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 4 + 0 + 2 + 87 + 62 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10774028762491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1045712481 + ... + 1045722783.

It is an arithmetic number, because the mean of its divisors is an integer number (85770135360).

Almost surely, 2^{10774028762496} is an apocalyptic number.

10774028762496 is a gapful number since it is divisible by the number (16) 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 10774028762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467865989120).

10774028762496 is an abundant number, since it is smaller than the sum of its proper divisors (22161703215744).

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

10774028762496 is a wasteful number, since it uses less digits than its factorization.

10774028762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 10774028762496 in words is "ten trillion, seven hundred seventy-four billion, twenty-eight million, seven hundred sixty-two thousand, four hundred ninety-six".