5661385152000 has 960 divisors, whose sum is σ = 20123400787776. Its totient is φ = 1411802726400.

The previous prime is 5661385151999. The next prime is 5661385152013. The reversal of 5661385152000 is 2515831665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14260415802 + ... + 14260416198.

Almost surely, 2^{5661385152000} is an apocalyptic number.

5661385152000 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 5661385152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061700393888).

5661385152000 is an abundant number, since it is smaller than the sum of its proper divisors (14462015635776).

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

5661385152000 is a wasteful number, since it uses less digits than its factorization.

5661385152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 5661385152000 in words is "five trillion, six hundred sixty-one billion, three hundred eighty-five million, one hundred fifty-two thousand".