5948156410560 has 2016 divisors, whose sum is σ = 26445836132352. Its totient is φ = 1240765931520.

The previous prime is 5948156410523. The next prime is 5948156410583. The reversal of 5948156410560 is 650146518495.

It is a happy number.

5948156410560 is a `hidden beast` number, since 5 + 9 + 4 + 8 + 1 + 5 + 64 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5948156410497 and 5948156410506.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31142180065 + ... + 31142180255.

It is an arithmetic number, because the mean of its divisors is an integer number (13117974272).

Almost surely, 2^{5948156410560} 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 5948156410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222918066176).

5948156410560 is an abundant number, since it is smaller than the sum of its proper divisors (20497679721792).

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

5948156410560 is a wasteful number, since it uses less digits than its factorization.

5948156410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5948156410560 in words is "five trillion, nine hundred forty-eight billion, one hundred fifty-six million, four hundred ten thousand, five hundred sixty".