5431110600960 has 1440 divisors, whose sum is σ = 22838966599680. Its totient is φ = 1218580070400.

The previous prime is 5431110600943. The next prime is 5431110601003. The reversal of 5431110600960 is 690060111345.

5431110600960 is a `hidden beast` number, since 5 + 4 + 31 + 1 + 10 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 813158901 + ... + 813165579.

It is an arithmetic number, because the mean of its divisors is an integer number (15860393472).

Almost surely, 2^{5431110600960} 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 5431110600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419483299840).

5431110600960 is an abundant number, since it is smaller than the sum of its proper divisors (17407855998720).

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

5431110600960 is a wasteful number, since it uses less digits than its factorization.

5431110600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 5431110600960 in words is "five trillion, four hundred thirty-one billion, one hundred ten million, six hundred thousand, nine hundred sixty".