5167094400 has 576 divisors, whose sum is σ = 20446946520. Its totient is φ = 1234206720.

The previous prime is 5167094381. The next prime is 5167094407. The reversal of 5167094400 is 44907615.

5167094400 is a `hidden beast` number, since 5 + 167 + 0 + 94 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 465523776 + 4701570624 = 21576^2 + 68568^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5167094400² = 53397729077022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5167094407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13852614 + ... + 13852986.

Almost surely, 2^5167094400 is an apocalyptic number.

5167094400 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 5167094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223473260).

5167094400 is an abundant number, since it is smaller than the sum of its proper divisors (15279852120).

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

5167094400 is a wasteful number, since it uses less digits than its factorization.

5167094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5167094400 is about 71882.5041300037. The cubic root of 5167094400 is about 1728.8161011360.

It can be divided in two parts, 51670 and 94400, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 5167094400 in words is "five billion, one hundred sixty-seven million, ninety-four thousand, four hundred".