894003801600 has 480 divisors, whose sum is σ = 3634827356160. Its totient is φ = 188624240640.

The previous prime is 894003801547. The next prime is 894003801601. The reversal of 894003801600 is 6108300498.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894003801601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3366481 + ... + 3622319.

It is an arithmetic number, because the mean of its divisors is an integer number (7572556992).

Almost surely, 2^894003801600 is an apocalyptic number.

894003801600 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 894003801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817413678080).

894003801600 is an abundant number, since it is smaller than the sum of its proper divisors (2740823554560).

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

894003801600 is a wasteful number, since it uses less digits than its factorization.

894003801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255890 (or 255869 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 894003801600 in words is "eight hundred ninety-four billion, three million, eight hundred one thousand, six hundred".