53440232648400 has 360 divisors, whose sum is σ = 210229503513120. Its totient is φ = 12462175503360.

The previous prime is 53440232648353. The next prime is 53440232648449. The reversal of 53440232648400 is 484623204435.

53440232648400 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 0 + 232 + 6 + 4 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 29160414 + ... + 30938813.

It is an arithmetic number, because the mean of its divisors is an integer number (583970843092).

Almost surely, 2^{53440232648400} is an apocalyptic number.

53440232648400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53440232648400 is an abundant number, since it is smaller than the sum of its proper divisors (156789270864720).

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

53440232648400 is a wasteful number, since it uses less digits than its factorization.

53440232648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60099283 (or 60099269 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 53440232648400 in words is "fifty-three trillion, four hundred forty billion, two hundred thirty-two million, six hundred forty-eight thousand, four hundred".