10888869104400 has 480 divisors, whose sum is σ = 39979494323200. Its totient is φ = 2481663744000.

The previous prime is 10888869104369. The next prime is 10888869104441. The reversal of 10888869104400 is 440196888801.

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, 6524186766 + ... + 6524188434.

Almost surely, 2^{10888869104400} is an apocalyptic number.

10888869104400 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 10888869104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989747161600).

10888869104400 is an abundant number, since it is smaller than the sum of its proper divisors (29090625218800).

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

10888869104400 is a wasteful number, since it uses less digits than its factorization.

10888869104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 10888869104400 in words is "ten trillion, eight hundred eighty-eight billion, eight hundred sixty-nine million, one hundred four thousand, four hundred".