11421010896768 has 1280 divisors, whose sum is σ = 40307629190400. Its totient is φ = 3199347486720.

The previous prime is 11421010896739. The next prime is 11421010896797. The reversal of 11421010896768 is 86769801012411.

11421010896768 is a `hidden beast` number, since 11 + 421 + 0 + 10 + 89 + 67 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (11421010896739) and next prime (11421010896797).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11274442630 + ... + 11274443642.

It is an arithmetic number, because the mean of its divisors is an integer number (31490335305).

Almost surely, 2^{11421010896768} is an apocalyptic number.

11421010896768 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 11421010896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153814595200).

11421010896768 is an abundant number, since it is smaller than the sum of its proper divisors (28886618293632).

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

11421010896768 is a wasteful number, since it uses less digits than its factorization.

11421010896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11421010896768 in words is "eleven trillion, four hundred twenty-one billion, ten million, eight hundred ninety-six thousand, seven hundred sixty-eight".