894828778560 has 336 divisors, whose sum is σ = 3156867775152. Its totient is φ = 232508620800.

The previous prime is 894828778531. The next prime is 894828778681. The reversal of 894828778560 is 65877828498.

894828778560 is a `hidden beast` number, since 8 + 9 + 482 + 8 + 7 + 7 + 85 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 185878250496 + 708950528064 = 431136^2 + 841992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103551840 + ... + 103560480.

It is an arithmetic number, because the mean of its divisors is an integer number (9395439807).

Almost surely, 2^894828778560 is an apocalyptic number.

894828778560 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 894828778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578433887576).

894828778560 is an abundant number, since it is smaller than the sum of its proper divisors (2262038996592).

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

894828778560 is a wasteful number, since it uses less digits than its factorization.

894828778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 894828778560 in words is "eight hundred ninety-four billion, eight hundred twenty-eight million, seven hundred seventy-eight thousand, five hundred sixty".