53432440510400 has 252 divisors, whose sum is σ = 152994201885000. Its totient is φ = 18313544632320.

The previous prime is 53432440510367. The next prime is 53432440510439. The reversal of 53432440510400 is 401504423435.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236576726 + ... + 236802474.

It is an arithmetic number, because the mean of its divisors is an integer number (607119848750).

Almost surely, 2^{53432440510400} is an apocalyptic number.

53432440510400 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 53432440510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76497100942500).

53432440510400 is an abundant number, since it is smaller than the sum of its proper divisors (99561761374600).

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

53432440510400 is a wasteful number, since it uses less digits than its factorization.

53432440510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228804 (or 228782 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 53432440510400 its reverse (401504423435), we get a palindrome (53833944933835).

The spelling of 53432440510400 in words is "fifty-three trillion, four hundred thirty-two billion, four hundred forty million, five hundred ten thousand, four hundred".