53661333034400 has 216 divisors, whose sum is σ = 164110805259660. Its totient is φ = 16982927216640.

The previous prime is 53661333034343. The next prime is 53661333034453. The reversal of 53661333034400 is 443033316635.

It can be written as a sum of positive squares in 6 ways, for example, as 12830408785936 + 40830924248464 = 3581956^2 + 6389908^2 .

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 35 ways as a sum of consecutive naturals, for example, 52140845 + ... + 53160044.

Almost surely, 2^{53661333034400} is an apocalyptic number.

53661333034400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53661333034400 is an abundant number, since it is smaller than the sum of its proper divisors (110449472225260).

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

53661333034400 is a wasteful number, since it uses less digits than its factorization.

53661333034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105300936 (or 105300916 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 41.

The spelling of 53661333034400 in words is "fifty-three trillion, six hundred sixty-one billion, three hundred thirty-three million, thirty-four thousand, four hundred".