53532314400 has 144 divisors (see below), whose sum is σ = 174321655200. Its totient is φ = 14269224960.

The previous prime is 53532314399. The next prime is 53532314401. The reversal of 53532314400 is 441323535.

It is an interprime number because it is at equal distance from previous prime (53532314399) and next prime (53532314401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53532314401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10579071 + ... + 10584129.

It is an arithmetic number, because the mean of its divisors is an integer number (1210567050).

Almost surely, 2^53532314400 is an apocalyptic number.

53532314400 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 53532314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87160827600).

53532314400 is an abundant number, since it is smaller than the sum of its proper divisors (120789340800).

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

53532314400 is a wasteful number, since it uses less digits than its factorization.

53532314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 53532314400 its reverse (441323535), we get a palindrome (53973637935).

The spelling of 53532314400 in words is "fifty-three billion, five hundred thirty-two million, three hundred fourteen thousand, four hundred".