5785678679040 has 2112 divisors, whose sum is σ = 24004160893440. Its totient is φ = 1324343623680.

The previous prime is 5785678678987. The next prime is 5785678679117. The reversal of 5785678679040 is 409768765875.

5785678679040 is a `hidden beast` number, since 57 + 8 + 567 + 8 + 6 + 7 + 9 + 0 + 4 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5785678679040.

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, 20589603700 + ... + 20589603980.

Almost surely, 2^{5785678679040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785678679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002080446720).

5785678679040 is an abundant number, since it is smaller than the sum of its proper divisors (18218482214400).

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

5785678679040 is a wasteful number, since it uses less digits than its factorization.

5785678679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 5785678679040 in words is "five trillion, seven hundred eighty-five billion, six hundred seventy-eight million, six hundred seventy-nine thousand, forty".