5660209152000 has 2048 divisors, whose sum is σ = 23450163609600. Its totient is φ = 1337720832000.

The previous prime is 5660209151981. The next prime is 5660209152007. The reversal of 5660209152000 is 2519020665.

5660209152000 is a `hidden beast` number, since 56 + 60 + 20 + 9 + 1 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660209152007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44568575937 + ... + 44568576063.

It is an arithmetic number, because the mean of its divisors is an integer number (11450275200).

Almost surely, 2^{5660209152000} is an apocalyptic number.

5660209152000 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 5660209152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725081804800).

5660209152000 is an abundant number, since it is smaller than the sum of its proper divisors (17789954457600).

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

5660209152000 is a wasteful number, since it uses less digits than its factorization.

5660209152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5660209152000 in words is "five trillion, six hundred sixty billion, two hundred nine million, one hundred fifty-two thousand".