5948094801600 has 1008 divisors, whose sum is σ = 24412482072576. Its totient is φ = 1345499136000.

The previous prime is 5948094801589. The next prime is 5948094801617. The reversal of 5948094801600 is 61084908495.

5948094801600 is a `hidden beast` number, since 594 + 8 + 0 + 9 + 48 + 0 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4370384920 + ... + 4370386280.

Almost surely, 2^{5948094801600} is an apocalyptic number.

5948094801600 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 5948094801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206241036288).

5948094801600 is an abundant number, since it is smaller than the sum of its proper divisors (18464387270976).

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

5948094801600 is a wasteful number, since it uses less digits than its factorization.

5948094801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5948094801600 in words is "five trillion, nine hundred forty-eight billion, ninety-four million, eight hundred one thousand, six hundred".