10889348400 has 900 divisors, whose sum is σ = 47986843080. Its totient is φ = 2357994240.

The previous prime is 10889348303. The next prime is 10889348443. The reversal of 10889348400 is 484398801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10889348400 is a `hidden beast` number, since 1 + 0 + 88 + 93 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 573123591 + ... + 573123609.

Almost surely, 2^10889348400 is an apocalyptic number.

10889348400 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 10889348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993421540).

10889348400 is an abundant number, since it is smaller than the sum of its proper divisors (37097494680).

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

10889348400 is an equidigital number, since it uses as much as digits as its factorization.

10889348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10889348400 in words is "ten billion, eight hundred eighty-nine million, three hundred forty-eight thousand, four hundred".