5601426367680 has 1344 divisors, whose sum is σ = 23445669542400. Its totient is φ = 1247948881920.

The previous prime is 5601426367637. The next prime is 5601426367739. The reversal of 5601426367680 is 867636241065.

5601426367680 is a `hidden beast` number, since 5 + 60 + 142 + 6 + 367 + 6 + 80 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 4449106891 + ... + 4449108149.

It is an arithmetic number, because the mean of its divisors is an integer number (17444694600).

Almost surely, 2^{5601426367680} 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 5601426367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722834771200).

5601426367680 is an abundant number, since it is smaller than the sum of its proper divisors (17844243174720).

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

5601426367680 is a wasteful number, since it uses less digits than its factorization.

5601426367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5601426367680 in words is "five trillion, six hundred one billion, four hundred twenty-six million, three hundred sixty-seven thousand, six hundred eighty".