889991893440 has 1568 divisors, whose sum is σ = 3695606341056. Its totient is φ = 202091397120.

The previous prime is 889991893387. The next prime is 889991893447. The reversal of 889991893440 is 44398199988.

889991893440 is a `hidden beast` number, since 8 + 8 + 9 + 9 + 91 + 8 + 93 + 440 = 666.

889991893440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889991893447) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3144847539 + ... + 3144847821.

Almost surely, 2^889991893440 is an apocalyptic number.

889991893440 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 889991893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847803170528).

889991893440 is an abundant number, since it is smaller than the sum of its proper divisors (2805614447616).

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

889991893440 is a wasteful number, since it uses less digits than its factorization.

889991893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 889991893440 in words is "eight hundred eighty-nine billion, nine hundred ninety-one million, eight hundred ninety-three thousand, four hundred forty".