53332546241400 has 192 divisors, whose sum is σ = 167210326425600. Its totient is φ = 14060382336000.

The previous prime is 53332546241399. The next prime is 53332546241437. The reversal of 53332546241400 is 414264523335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437338435 + ... + 437460365.

It is an arithmetic number, because the mean of its divisors is an integer number (870887116800).

Almost surely, 2^{53332546241400} is an apocalyptic number.

53332546241400 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 53332546241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83605163212800).

53332546241400 is an abundant number, since it is smaller than the sum of its proper divisors (113877780184200).

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

53332546241400 is a wasteful number, since it uses less digits than its factorization.

53332546241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130230 (or 130221 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 53332546241400 in words is "fifty-three trillion, three hundred thirty-two billion, five hundred forty-six million, two hundred forty-one thousand, four hundred".