5167272474000 has 1280 divisors, whose sum is σ = 22841358059520. Its totient is φ = 1087395840000.

The previous prime is 5167272473977. The next prime is 5167272474037. The reversal of 5167272474000 is 4742727615.

5167272474000 is a `hidden beast` number, since 51 + 67 + 2 + 72 + 474 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2265352860 + ... + 2265355140.

It is an arithmetic number, because the mean of its divisors is an integer number (17844810984).

Almost surely, 2^{5167272474000} is an apocalyptic number.

5167272474000 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 5167272474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420679029760).

5167272474000 is an abundant number, since it is smaller than the sum of its proper divisors (17674085585520).

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

5167272474000 is a wasteful number, since it uses less digits than its factorization.

5167272474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 5167272474000 in words is "five trillion, one hundred sixty-seven billion, two hundred seventy-two million, four hundred seventy-four thousand".