889148010400 has 144 divisors (see below), whose sum is σ = 2339108209368. Its totient is φ = 328089600000.

The previous prime is 889148010391. The next prime is 889148010403. The reversal of 889148010400 is 4010841988.

It can be written as a sum of positive squares in 12 ways, for example, as 54212602896 + 834935407504 = 232836^2 + 913748^2 .

It is not an unprimeable number, because it can be changed into a prime (889148010403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16623700 + ... + 16677100.

Almost surely, 2^889148010400 is an apocalyptic number.

889148010400 is a gapful number since it is divisible by the number (80) 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 889148010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169554104684).

889148010400 is an abundant number, since it is smaller than the sum of its proper divisors (1449960198968).

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

889148010400 is a wasteful number, since it uses less digits than its factorization.

889148010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55035 (or 55022 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 889148010400 in words is "eight hundred eighty-nine billion, one hundred forty-eight million, ten thousand, four hundred".