10335804778656 has 288 divisors, whose sum is σ = 35481361563648. Its totient is φ = 2791364405760.

The previous prime is 10335804778631. The next prime is 10335804778711. The reversal of 10335804778656 is 65687740853301.

It is a happy number.

10335804778656 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 80 + 477 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10335804778593 and 10335804778602.

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 47 ways as a sum of consecutive naturals, for example, 764265 + ... + 4610391.

It is an arithmetic number, because the mean of its divisors is an integer number (123199172096).

Almost surely, 2^{10335804778656} is an apocalyptic number.

10335804778656 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 10335804778656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740680781824).

10335804778656 is an abundant number, since it is smaller than the sum of its proper divisors (25145556784992).

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

10335804778656 is a wasteful number, since it uses less digits than its factorization.

10335804778656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846224 (or 3846213 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 10335804778656 in words is "ten trillion, three hundred thirty-five billion, eight hundred four million, seven hundred seventy-eight thousand, six hundred fifty-six".