5601067088400 has 1440 divisors, whose sum is σ = 24056901509760. Its totient is φ = 1248626534400.

The previous prime is 5601067088389. The next prime is 5601067088473. The reversal of 5601067088400 is 48807601065.

It is a happy number.

5601067088400 is a `hidden beast` number, since 5 + 60 + 106 + 7 + 0 + 88 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1757471607 + ... + 1757474793.

It is an arithmetic number, because the mean of its divisors is an integer number (16706181604).

Almost surely, 2^{5601067088400} is an apocalyptic number.

5601067088400 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 5601067088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028450754880).

5601067088400 is an abundant number, since it is smaller than the sum of its proper divisors (18455834421360).

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

5601067088400 is a wasteful number, since it uses less digits than its factorization.

5601067088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5601067088400 in words is "five trillion, six hundred one billion, sixty-seven million, eighty-eight thousand, four hundred".