5604435271680 has 896 divisors, whose sum is σ = 21772745920512. Its totient is φ = 1201655513088.

The previous prime is 5604435271619. The next prime is 5604435271717. The reversal of 5604435271680 is 861725344065.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7121264247 + ... + 7121265033.

Almost surely, 2^{5604435271680} 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 5604435271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886372960256).

5604435271680 is an abundant number, since it is smaller than the sum of its proper divisors (16168310648832).

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

5604435271680 is a wasteful number, since it uses less digits than its factorization.

5604435271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 5604435271680 in words is "five trillion, six hundred four billion, four hundred thirty-five million, two hundred seventy-one thousand, six hundred eighty".