21110368078464 has 768 divisors, whose sum is σ = 70408660008960. Its totient is φ = 5573449728000.

The previous prime is 21110368078417. The next prime is 21110368078477. The reversal of 21110368078464 is 46487086301112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827573489 + ... + 1827585039.

It is an arithmetic number, because the mean of its divisors is an integer number (91677942720).

Almost surely, 2^{21110368078464} is an apocalyptic number.

21110368078464 is a gapful number since it is divisible by the number (24) 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 21110368078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35204330004480).

21110368078464 is an abundant number, since it is smaller than the sum of its proper divisors (49298291930496).

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

21110368078464 is a wasteful number, since it uses less digits than its factorization.

21110368078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11749 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 21110368078464 in words is "twenty-one trillion, one hundred ten billion, three hundred sixty-eight million, seventy-eight thousand, four hundred sixty-four".