10288411600896 has 1152 divisors, whose sum is σ = 36317683584000. Its totient is φ = 2762971545600.

The previous prime is 10288411600877. The next prime is 10288411600927. The reversal of 10288411600896 is 69800611488201.

It is a happy number.

10288411600896 is a `hidden beast` number, since 1 + 0 + 2 + 88 + 411 + 60 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21478938385 + ... + 21478938863.

It is an arithmetic number, because the mean of its divisors is an integer number (31525767000).

Almost surely, 2^{10288411600896} is an apocalyptic number.

10288411600896 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 10288411600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158841792000).

10288411600896 is an abundant number, since it is smaller than the sum of its proper divisors (26029271983104).

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

10288411600896 is a wasteful number, since it uses less digits than its factorization.

10288411600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 10288411600896 in words is "ten trillion, two hundred eighty-eight billion, four hundred eleven million, six hundred thousand, eight hundred ninety-six".