10888608666400 has 144 divisors (see below), whose sum is σ = 26916130460520. Its totient is φ = 4300795699200.

The previous prime is 10888608666389. The next prime is 10888608666413. The reversal of 10888608666400 is 466680688801.

10888608666400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 203476775056 + 10685131891344 = 451084^2 + 3268812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53797390 + ... + 53999410.

Almost surely, 2^{10888608666400} is an apocalyptic number.

10888608666400 is a gapful number since it is divisible by the number (10) 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 10888608666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458065230260).

10888608666400 is an abundant number, since it is smaller than the sum of its proper divisors (16027521794120).

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

10888608666400 is a wasteful number, since it uses less digits than its factorization.

10888608666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202887 (or 202874 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 10888608666400 in words is "ten trillion, eight hundred eighty-eight billion, six hundred eight million, six hundred sixty-six thousand, four hundred".