5604093240480 has 288 divisors, whose sum is σ = 22132624550400. Its totient is φ = 1264721043456.

The previous prime is 5604093240463. The next prime is 5604093240533. The reversal of 5604093240480 is 840423904065.

5604093240480 is a `hidden beast` number, since 5 + 6 + 0 + 40 + 93 + 2 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5604093240480² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722425 + ... + 4315064.

It is an arithmetic number, because the mean of its divisors is an integer number (76849390800).

Almost surely, 2^{5604093240480} is an apocalyptic number.

It is an amenable number.

5604093240480 is an abundant number, since it is smaller than the sum of its proper divisors (16528531309920).

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

5604093240480 is a wasteful number, since it uses less digits than its factorization.

5604093240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037596 (or 7037585 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5604093240480 in words is "five trillion, six hundred four billion, ninety-three million, two hundred forty thousand, four hundred eighty".