5211460460160 has 384 divisors, whose sum is σ = 19479841761600. Its totient is φ = 1316577908736.

The previous prime is 5211460460149. The next prime is 5211460460183. The reversal of 5211460460160 is 610640641125.

5211460460160 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 46 + 0 + 4 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5211460460160² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5820367 + ... + 6655793.

Almost surely, 2^{5211460460160} 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 5211460460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739920880800).

5211460460160 is an abundant number, since it is smaller than the sum of its proper divisors (14268381301440).

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

5211460460160 is a wasteful number, since it uses less digits than its factorization.

5211460460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835493 (or 835456 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5211460460160 in words is "five trillion, two hundred eleven billion, four hundred sixty million, four hundred sixty thousand, one hundred sixty".