5191526400 has 288 divisors, whose sum is σ = 17435134080. Its totient is φ = 1362493440.

The previous prime is 5191526399. The next prime is 5191526441. The reversal of 5191526400 is 46251915.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11212569 + ... + 11213031.

It is an arithmetic number, because the mean of its divisors is an integer number (60538660).

Almost surely, 2^5191526400 is an apocalyptic number.

5191526400 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 5191526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717567040).

5191526400 is an abundant number, since it is smaller than the sum of its proper divisors (12243607680).

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

5191526400 is a wasteful number, since it uses less digits than its factorization.

5191526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5191526400 is about 72052.2477095614. The cubic root of 5191526400 is about 1731.5366524353.

The spelling of 5191526400 in words is "five billion, one hundred ninety-one million, five hundred twenty-six thousand, four hundred".