5661149091840 has 1728 divisors, whose sum is σ = 23365480320000. Its totient is φ = 1255705804800.

The previous prime is 5661149091791. The next prime is 5661149091863. The reversal of 5661149091840 is 481909411665.

5661149091840 is a `hidden beast` number, since 5 + 6 + 61 + 1 + 490 + 91 + 8 + 4 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 11344987911 + ... + 11344988409.

It is an arithmetic number, because the mean of its divisors is an integer number (13521690000).

Almost surely, 2^{5661149091840} 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 5661149091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682740160000).

5661149091840 is an abundant number, since it is smaller than the sum of its proper divisors (17704331228160).

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

5661149091840 is a wasteful number, since it uses less digits than its factorization.

5661149091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5661149091840 in words is "five trillion, six hundred sixty-one billion, one hundred forty-nine million, ninety-one thousand, eight hundred forty".