53245295308800 has 1872 divisors, whose sum is σ = 231319512103680. Its totient is φ = 11885649592320.

The previous prime is 53245295308787. The next prime is 53245295308811. The reversal of 53245295308800 is 880359254235.

It is a happy number.

53245295308800 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 5 + 29 + 530 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×53245295308800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 7489839646 + ... + 7489846754.

It is an arithmetic number, because the mean of its divisors is an integer number (123568115440).

Almost surely, 2^{53245295308800} is an apocalyptic number.

53245295308800 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 53245295308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115659756051840).

53245295308800 is an abundant number, since it is smaller than the sum of its proper divisors (178074216794880).

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

53245295308800 is an equidigital number, since it uses as much as digits as its factorization.

53245295308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 53245295308800 in words is "fifty-three trillion, two hundred forty-five billion, two hundred ninety-five million, three hundred eight thousand, eight hundred".