53432520400000 has 288 divisors, whose sum is σ = 154773649516500. Its totient is φ = 18319714560000.

The previous prime is 53432520399971. The next prime is 53432520400057. The reversal of 53432520400000 is 402523435.

It can be written as a sum of positive squares in 6 ways, for example, as 22485729415744 + 30946790984256 = 4741912^2 + 5562984^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 18236926 + ... + 20963074.

Almost surely, 2^{53432520400000} is an apocalyptic number.

53432520400000 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 53432520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77386824758250).

53432520400000 is an abundant number, since it is smaller than the sum of its proper divisors (101341129116500).

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

53432520400000 is an frugal number, since it uses more digits than its factorization.

53432520400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726202 (or 2726163 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 53432520400000 its reverse (402523435), we get a palindrome (53432922923435).

The spelling of 53432520400000 in words is "fifty-three trillion, four hundred thirty-two billion, five hundred twenty million, four hundred thousand".