5053728153600 has 2016 divisors, whose sum is σ = 21828950357760. Its totient is φ = 1135151677440.

The previous prime is 5053728153587. The next prime is 5053728153613. The reversal of 5053728153600 is 63518273505.

5053728153600 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 7 + 28 + 15 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5053728153587) and next prime (5053728153613).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31004467119 + ... + 31004467281.

It is an arithmetic number, because the mean of its divisors is an integer number (10827852360).

Almost surely, 2^{5053728153600} is an apocalyptic number.

5053728153600 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 5053728153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914475178880).

5053728153600 is an abundant number, since it is smaller than the sum of its proper divisors (16775222204160).

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

5053728153600 is an equidigital number, since it uses as much as digits as its factorization.

5053728153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5053728153600 in words is "five trillion, fifty-three billion, seven hundred twenty-eight million, one hundred fifty-three thousand, six hundred".