5411563176960 has 1056 divisors, whose sum is σ = 20013992593920. Its totient is φ = 1349153980416.

The previous prime is 5411563176953. The next prime is 5411563176973. The reversal of 5411563176960 is 696713651145.

5411563176960 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 563 + 1 + 76 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5411563176897 and 5411563176906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9715553002 + ... + 9715553558.

Almost surely, 2^{5411563176960} 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 5411563176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006996296960).

5411563176960 is an abundant number, since it is smaller than the sum of its proper divisors (14602429416960).

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

5411563176960 is a wasteful number, since it uses less digits than its factorization.

5411563176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5411563176960 in words is "five trillion, four hundred eleven billion, five hundred sixty-three million, one hundred seventy-six thousand, nine hundred sixty".