5681078406000 has 480 divisors, whose sum is σ = 20019907215360. Its totient is φ = 1501440192000.

The previous prime is 5681078405969. The next prime is 5681078406041. The reversal of 5681078406000 is 6048701865.

It is a happy number.

5681078406000 is a `hidden beast` number, since 568 + 1 + 0 + 7 + 84 + 0 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972951081 + ... + 972956919.

It is an arithmetic number, because the mean of its divisors is an integer number (41708140032).

Almost surely, 2^{5681078406000} is an apocalyptic number.

5681078406000 is a gapful number since it is divisible by the number (50) 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 5681078406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009953607680).

5681078406000 is an abundant number, since it is smaller than the sum of its proper divisors (14338828809360).

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

5681078406000 is a wasteful number, since it uses less digits than its factorization.

5681078406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5681078406000 in words is "five trillion, six hundred eighty-one billion, seventy-eight million, four hundred six thousand".