5171904000 has 640 divisors, whose sum is σ = 19839980160. Its totient is φ = 1327104000.

The previous prime is 5171903977. The next prime is 5171904011. The reversal of 5171904000 is 4091715.

5171904000 is a `hidden beast` number, since 5 + 171 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70847964 + ... + 70848036.

It is an arithmetic number, because the mean of its divisors is an integer number (30999969).

Almost surely, 2^5171904000 is an apocalyptic number.

5171904000 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 5171904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919990080).

5171904000 is an abundant number, since it is smaller than the sum of its proper divisors (14668076160).

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

5171904000 is an equidigital number, since it uses as much as digits as its factorization.

5171904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5171904000 is about 71915.9509427498. The cubic root of 5171904000 is about 1729.3523364443.

Adding to 5171904000 its reverse (4091715), we get a palindrome (5175995715).

The spelling of 5171904000 in words is "five billion, one hundred seventy-one million, nine hundred four thousand".