53034799708800 has 2592 divisors, whose sum is σ = 241531523922780. Its totient is φ = 10981015879680.

The previous prime is 53034799708799. The next prime is 53034799708829. The reversal of 53034799708800 is 880799743035.

53034799708800 is a `hidden beast` number, since 530 + 3 + 4 + 7 + 9 + 97 + 0 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11401643663424 + 41633156045376 = 3376632^2 + 6452376^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 323 ways as a sum of consecutive naturals, for example, 266506531101 + ... + 266506531299.

Almost surely, 2^{53034799708800} is an apocalyptic number.

53034799708800 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 53034799708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120765761961390).

53034799708800 is an abundant number, since it is smaller than the sum of its proper divisors (188496724213980).

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

53034799708800 is a wasteful number, since it uses less digits than its factorization.

53034799708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 53034799708800 in words is "fifty-three trillion, thirty-four billion, seven hundred ninety-nine million, seven hundred eight thousand, eight hundred".