10369551775968 has 2304 divisors, whose sum is σ = 41253824102400. Its totient is φ = 2556000437760.

The previous prime is 10369551775927. The next prime is 10369551775981. The reversal of 10369551775968 is 86957715596301.

10369551775968 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 9 + 551 + 7 + 7 + 5 + 9 + 68 = 666.

10369551775968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10369551775968² (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 junction number, because it is equal to n+sod(n) for n = 10369551775896 and 10369551775905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81650013921 + ... + 81650014047.

It is an arithmetic number, because the mean of its divisors is an integer number (17905305600).

Almost surely, 2^{10369551775968} is an apocalyptic number.

10369551775968 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 10369551775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626912051200).

10369551775968 is an abundant number, since it is smaller than the sum of its proper divisors (30884272326432).

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

10369551775968 is an equidigital number, since it uses as much as digits as its factorization.

10369551775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 72.

The spelling of 10369551775968 in words is "ten trillion, three hundred sixty-nine billion, five hundred fifty-one million, seven hundred seventy-five thousand, nine hundred sixty-eight".