53409716505600 has 2112 divisors, whose sum is σ = 231364425062400. Its totient is φ = 10777323110400.

The previous prime is 53409716505553. The next prime is 53409716505617. The reversal of 53409716505600 is 650561790435.

It is a super-2 number, since 2×53409716505600² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7876374210 + ... + 7876380990.

Almost surely, 2^{53409716505600} is an apocalyptic number.

53409716505600 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 53409716505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115682212531200).

53409716505600 is an abundant number, since it is smaller than the sum of its proper divisors (177954708556800).

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

53409716505600 is a wasteful number, since it uses less digits than its factorization.

53409716505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 53409716505600 in words is "fifty-three trillion, four hundred nine billion, seven hundred sixteen million, five hundred five thousand, six hundred".