5904576980544 has 336 divisors, whose sum is σ = 17444873456640. Its totient is φ = 1760910412800.

The previous prime is 5904576980503. The next prime is 5904576980639. The reversal of 5904576980544 is 4450896754095.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1021020277 + ... + 1021026059.

It is an arithmetic number, because the mean of its divisors is an integer number (51919266240).

Almost surely, 2^{5904576980544} 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 5904576980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722436728320).

5904576980544 is an abundant number, since it is smaller than the sum of its proper divisors (11540296476096).

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

5904576980544 is a wasteful number, since it uses less digits than its factorization.

5904576980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 66.

The spelling of 5904576980544 in words is "five trillion, nine hundred four billion, five hundred seventy-six million, nine hundred eighty thousand, five hundred forty-four".