10792835964288 has 1536 divisors, whose sum is σ = 39872121569280. Its totient is φ = 2840566579200.

The previous prime is 10792835964161. The next prime is 10792835964341. The reversal of 10792835964288 is 88246953829701.

10792835964288 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 2 + 8 + 3 + 596 + 4 + 28 + 8 = 666.

It is a super-2 number, since 2×10792835964288² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11899487931 + ... + 11899488837.

It is an arithmetic number, because the mean of its divisors is an integer number (25958412480).

It is a 1-persistent number, because it is pandigital, but 2⋅10792835964288 = 21585671928576 is not.

Almost surely, 2^{10792835964288} is an apocalyptic number.

10792835964288 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 10792835964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936060784640).

10792835964288 is an abundant number, since it is smaller than the sum of its proper divisors (29079285604992).

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

10792835964288 is an equidigital number, since it uses as much as digits as its factorization.

10792835964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 10792835964288 in words is "ten trillion, seven hundred ninety-two billion, eight hundred thirty-five million, nine hundred sixty-four thousand, two hundred eighty-eight".