5564435437000 has 256 divisors, whose sum is σ = 15000037228800. Its totient is φ = 1910787840000.

The previous prime is 5564435436977. The next prime is 5564435437009. The reversal of 5564435437000 is 7345344655.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5564435437009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65374470 + ... + 65459530.

It is an arithmetic number, because the mean of its divisors is an integer number (58593895425).

Almost surely, 2^{5564435437000} is an apocalyptic number.

5564435437000 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 5564435437000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500018614400).

5564435437000 is an abundant number, since it is smaller than the sum of its proper divisors (9435601791800).

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

5564435437000 is a wasteful number, since it uses less digits than its factorization.

5564435437000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85425 (or 85411 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 5564435437000 in words is "five trillion, five hundred sixty-four billion, four hundred thirty-five million, four hundred thirty-seven thousand".