5660582090040 has 512 divisors, whose sum is σ = 20045463552000. Its totient is φ = 1416842316288.

The previous prime is 5660582090039. The next prime is 5660582090099. The reversal of 5660582090040 is 400902850665.

5660582090040 is a `hidden beast` number, since 5 + 6 + 60 + 582 + 0 + 9 + 0 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×5660582090040³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 3395669287 + ... + 3395670953.

It is an arithmetic number, because the mean of its divisors is an integer number (39151296000).

Almost surely, 2^{5660582090040} 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 5660582090040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022731776000).

5660582090040 is an abundant number, since it is smaller than the sum of its proper divisors (14384881461960).

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

5660582090040 is a wasteful number, since it uses less digits than its factorization.

5660582090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5660582090040 in words is "five trillion, six hundred sixty billion, five hundred eighty-two million, ninety thousand, forty".