5690285406720 has 400 divisors, whose sum is σ = 20394335569608. Its totient is φ = 1516402114560.

The previous prime is 5690285406709. The next prime is 5690285406731. The reversal of 5690285406720 is 276045820965.

5690285406720 is a `hidden beast` number, since 5 + 6 + 9 + 0 + 28 + 540 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5690285406709) and next prime (5690285406731).

It can be written as a sum of positive squares in 4 ways, for example, as 2508599828736 + 3181685577984 = 1583856^2 + 1783728^2 .

It is a super-3 number, since 3×5690285406720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343587240 + ... + 343603800.

Almost surely, 2^{5690285406720} 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 5690285406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197167784804).

5690285406720 is an abundant number, since it is smaller than the sum of its proper divisors (14704050162888).

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

5690285406720 is a wasteful number, since it uses less digits than its factorization.

5690285406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18253 (or 18228 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5690285406720 in words is "five trillion, six hundred ninety billion, two hundred eighty-five million, four hundred six thousand, seven hundred twenty".