5167495586880 has 448 divisors, whose sum is σ = 21056860258560. Its totient is φ = 1179036057600.

The previous prime is 5167495586857. The next prime is 5167495586909. The reversal of 5167495586880 is 886855947615.

5167495586880 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 4 + 9 + 558 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5167495586799 and 5167495586808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16510 + ... + 3214850.

It is an arithmetic number, because the mean of its divisors is an integer number (47001920220).

Almost surely, 2^{5167495586880} 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 5167495586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528430129280).

5167495586880 is an abundant number, since it is smaller than the sum of its proper divisors (15889364671680).

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

5167495586880 is a wasteful number, since it uses less digits than its factorization.

5167495586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198395 (or 3198379 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 5167495586880 in words is "five trillion, one hundred sixty-seven billion, four hundred ninety-five million, five hundred eighty-six thousand, eight hundred eighty".