5460651550116 has 480 divisors, whose sum is σ = 17441853327360. Its totient is φ = 1455027826176.

The previous prime is 5460651550111. The next prime is 5460651550129. The reversal of 5460651550116 is 6110551560645.

5460651550116 is a `hidden beast` number, since 5 + 4 + 60 + 65 + 15 + 501 + 16 = 666.

It is a super-2 number, since 2×5460651550116² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5460651550111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2035276911 + ... + 2035279593.

It is an arithmetic number, because the mean of its divisors is an integer number (36337194432).

Almost surely, 2^{5460651550116} 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 5460651550116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720926663680).

5460651550116 is an abundant number, since it is smaller than the sum of its proper divisors (11981201777244).

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

5460651550116 is a wasteful number, since it uses less digits than its factorization.

5460651550116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 5460651550116 in words is "five trillion, four hundred sixty billion, six hundred fifty-one million, five hundred fifty thousand, one hundred sixteen".