5164241702400 has 600 divisors, whose sum is σ = 20850851234664. Its totient is φ = 1251934617600.

The previous prime is 5164241702327. The next prime is 5164241702419. The reversal of 5164241702400 is 42071424615.

5164241702400 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 241 + 7 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 11178394 + ... + 11631206.

Almost surely, 2^{5164241702400} is an apocalyptic number.

5164241702400 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 5164241702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425425617332).

5164241702400 is an abundant number, since it is smaller than the sum of its proper divisors (15686609532264).

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

5164241702400 is a wasteful number, since it uses less digits than its factorization.

5164241702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452864 (or 452834 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5164241702400 in words is "five trillion, one hundred sixty-four billion, two hundred forty-one million, seven hundred two thousand, four hundred".