5167865664000 has 2560 divisors, whose sum is σ = 21860440842240. Its totient is φ = 1194393600000.

The previous prime is 5167865663999. The next prime is 5167865664007. The reversal of 5167865664000 is 4665687615.

5167865664000 is a `hidden beast` number, since 5 + 1 + 6 + 78 + 6 + 566 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5167865664007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28551743910 + ... + 28551744090.

It is an arithmetic number, because the mean of its divisors is an integer number (8539234704).

Almost surely, 2^{5167865664000} is an apocalyptic number.

5167865664000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5167865664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930220421120).

5167865664000 is an abundant number, since it is smaller than the sum of its proper divisors (16692575178240).

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

5167865664000 is a wasteful number, since it uses less digits than its factorization.

5167865664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5167865664000 in words is "five trillion, one hundred sixty-seven billion, eight hundred sixty-five million, six hundred sixty-four thousand".