889431399360 has 1344 divisors, whose sum is σ = 3864051330048. Its totient is φ = 190099685376.

The previous prime is 889431399359. The next prime is 889431399383. The reversal of 889431399360 is 63993134988.

889431399360 is a `hidden beast` number, since 8 + 89 + 431 + 3 + 99 + 36 + 0 = 666.

889431399360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2563202707 + ... + 2563203053.

It is an arithmetic number, because the mean of its divisors is an integer number (2875038192).

Almost surely, 2^889431399360 is an apocalyptic number.

889431399360 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 889431399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932025665024).

889431399360 is an abundant number, since it is smaller than the sum of its proper divisors (2974619930688).

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

889431399360 is a wasteful number, since it uses less digits than its factorization.

889431399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 889431399360 in words is "eight hundred eighty-nine billion, four hundred thirty-one million, three hundred ninety-nine thousand, three hundred sixty".