10288267411968 has 2560 divisors, whose sum is σ = 41963414169600. Its totient is φ = 2411464753152.

The previous prime is 10288267411967. The next prime is 10288267411969. The reversal of 10288267411968 is 86911476288201.

10288267411968 is a `hidden beast` number, since 1 + 0 + 28 + 82 + 67 + 411 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (10288267411967) and next prime (10288267411969).

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

It is not an unprimeable number, because it can be changed into a prime (10288267411967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32869863780 + ... + 32869864092.

It is an arithmetic number, because the mean of its divisors is an integer number (16391958660).

Almost surely, 2^{10288267411968} is an apocalyptic number.

10288267411968 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 10288267411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981707084800).

10288267411968 is an abundant number, since it is smaller than the sum of its proper divisors (31675146757632).

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

10288267411968 is a wasteful number, since it uses less digits than its factorization.

10288267411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 10288267411968 in words is "ten trillion, two hundred eighty-eight billion, two hundred sixty-seven million, four hundred eleven thousand, nine hundred sixty-eight".